{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "893e5381-8bad-4288-88e4-a30a0f0859c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as st\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "812c4be8-2cb8-4019-88d3-6e04f243f19d",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"var10.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "99b2fddc-1d91-4510-aece-bcf928f0b352",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Var1</th>\n",
       "      <th>Var2</th>\n",
       "      <th>Var3</th>\n",
       "      <th>Var4</th>\n",
       "      <th>Var5</th>\n",
       "      <th>Var6</th>\n",
       "      <th>Var7</th>\n",
       "      <th>Var8</th>\n",
       "      <th>Var9</th>\n",
       "      <th>Var10</th>\n",
       "      <th>Var11</th>\n",
       "      <th>Var12</th>\n",
       "      <th>Var13</th>\n",
       "      <th>Var14</th>\n",
       "      <th>Var15</th>\n",
       "      <th>Var16</th>\n",
       "      <th>Var17</th>\n",
       "      <th>Var18</th>\n",
       "      <th>Var19</th>\n",
       "      <th>Var20</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>132</td>\n",
       "      <td>170.003870</td>\n",
       "      <td>-8.603250</td>\n",
       "      <td>6</td>\n",
       "      <td>E</td>\n",
       "      <td>C</td>\n",
       "      <td>164.068885</td>\n",
       "      <td>D</td>\n",
       "      <td>959.612928</td>\n",
       "      <td>-4642.781161</td>\n",
       "      <td>-4911.236113</td>\n",
       "      <td>K</td>\n",
       "      <td>felt</td>\n",
       "      <td>349.278948</td>\n",
       "      <td>2.535781</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>-3.452279e+10</td>\n",
       "      <td>lxxxvii</td>\n",
       "      <td>E</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>133</td>\n",
       "      <td>-173.376464</td>\n",
       "      <td>14.496940</td>\n",
       "      <td>1</td>\n",
       "      <td>E</td>\n",
       "      <td>C</td>\n",
       "      <td>33.416447</td>\n",
       "      <td>D</td>\n",
       "      <td>147.642136</td>\n",
       "      <td>-4501.275041</td>\n",
       "      <td>-4881.583086</td>\n",
       "      <td>L</td>\n",
       "      <td>fell</td>\n",
       "      <td>-6.063932</td>\n",
       "      <td>27.328428</td>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "      <td>-3.146139e+10</td>\n",
       "      <td>madding</td>\n",
       "      <td>D</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>132</td>\n",
       "      <td>208.157241</td>\n",
       "      <td>6.378040</td>\n",
       "      <td>0</td>\n",
       "      <td>E</td>\n",
       "      <td>C</td>\n",
       "      <td>7.285960</td>\n",
       "      <td>D</td>\n",
       "      <td>-837.248362</td>\n",
       "      <td>-4268.576087</td>\n",
       "      <td>-5045.663169</td>\n",
       "      <td>J</td>\n",
       "      <td>fell</td>\n",
       "      <td>-437.081684</td>\n",
       "      <td>128.269919</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>-2.682998e+10</td>\n",
       "      <td>lxxxviii</td>\n",
       "      <td>F</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>124</td>\n",
       "      <td>-13.609225</td>\n",
       "      <td>-13.152873</td>\n",
       "      <td>2</td>\n",
       "      <td>E</td>\n",
       "      <td>B</td>\n",
       "      <td>59.546935</td>\n",
       "      <td>D</td>\n",
       "      <td>-544.036687</td>\n",
       "      <td>-4471.925623</td>\n",
       "      <td>-4913.871938</td>\n",
       "      <td>M</td>\n",
       "      <td>felt</td>\n",
       "      <td>-308.763422</td>\n",
       "      <td>9.619394</td>\n",
       "      <td>3</td>\n",
       "      <td>16</td>\n",
       "      <td>-3.084999e+10</td>\n",
       "      <td>lxxxviii</td>\n",
       "      <td>D</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>133</td>\n",
       "      <td>12.621217</td>\n",
       "      <td>-2.138876</td>\n",
       "      <td>9</td>\n",
       "      <td>E</td>\n",
       "      <td>B</td>\n",
       "      <td>242.460348</td>\n",
       "      <td>D</td>\n",
       "      <td>1241.547231</td>\n",
       "      <td>-4351.383372</td>\n",
       "      <td>-4881.583086</td>\n",
       "      <td>L</td>\n",
       "      <td>felt</td>\n",
       "      <td>472.661892</td>\n",
       "      <td>12.570900</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>-2.842191e+10</td>\n",
       "      <td>lxxxvii</td>\n",
       "      <td>D</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Var1        Var2       Var3  Var4 Var5 Var6        Var7 Var8         Var9  \\\n",
       "0   132  170.003870  -8.603250     6    E    C  164.068885    D   959.612928   \n",
       "1   133 -173.376464  14.496940     1    E    C   33.416447    D   147.642136   \n",
       "2   132  208.157241   6.378040     0    E    C    7.285960    D  -837.248362   \n",
       "3   124  -13.609225 -13.152873     2    E    B   59.546935    D  -544.036687   \n",
       "4   133   12.621217  -2.138876     9    E    B  242.460348    D  1241.547231   \n",
       "\n",
       "         Var10        Var11 Var12 Var13       Var14       Var15  Var16  Var17  \\\n",
       "0 -4642.781161 -4911.236113     K  felt  349.278948    2.535781      4      3   \n",
       "1 -4501.275041 -4881.583086     L  fell   -6.063932   27.328428      5      6   \n",
       "2 -4268.576087 -5045.663169     J  fell -437.081684  128.269919      5      0   \n",
       "3 -4471.925623 -4913.871938     M  felt -308.763422    9.619394      3     16   \n",
       "4 -4351.383372 -4881.583086     L  felt  472.661892   12.570900      2      0   \n",
       "\n",
       "          Var18     Var19 Var20  \n",
       "0 -3.452279e+10   lxxxvii     E  \n",
       "1 -3.146139e+10   madding     D  \n",
       "2 -2.682998e+10  lxxxviii     F  \n",
       "3 -3.084999e+10  lxxxviii     D  \n",
       "4 -2.842191e+10   lxxxvii     D  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1e80415d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_numerical_stats(column):\n",
    "    stats = {\n",
    "        'min': column.min(),\n",
    "        'max': column.max(),\n",
    "        'mean': column.mean(),\n",
    "        'median': column.median(),\n",
    "        'std': column.std(),\n",
    "        'variance': column.var(),\n",
    "        'skewness': column.skew(),\n",
    "        'kurtosis': column.kurt()\n",
    "    }\n",
    "    return stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8dda57d4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_categorical_stats(column):\n",
    "    unique_values, counts = column.value_counts().index, column.value_counts().values\n",
    "    stats = {\n",
    "        'unique_values': len(unique_values),\n",
    "        'most_frequent_value': unique_values[0],\n",
    "        'most_frequent_value_count': counts[0]\n",
    "    }\n",
    "    return stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5d74a111",
   "metadata": {},
   "outputs": [],
   "source": [
    "def convert_categorical_to_numerical(column):\n",
    "    unique_values = column.unique()\n",
    "    numerical_values = np.arange(len(unique_values))\n",
    "    mapping = dict(zip(unique_values, numerical_values))\n",
    "    return column.map(mapping)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08981061",
   "metadata": {},
   "source": [
    "1. Предварительный анализ данных."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0fe36b6",
   "metadata": {},
   "source": [
    "Гистограммы значений всех столбцов."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "f7677b6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PPaYxY8YoJCREycnJ6tChg/7617969Tzh4eFav369Ro4cqX//+9965513VKtWLV1//fV67bXXzrnfuLg4rVy5UiNGjND48eNVVFSka665Rn369LFrKvt7E2byscr6tCCAi86mTZvUokULffTRRx63ZwAAPJMDVBlHjx4t0TZhwgT5+vqe9ZOGAeBSxO0qoIoYO3asMjMz1aFDB1WrVk2LFy/W4sWL1bdv3xKfgYLKk5ubq+PHj592v5+fX4W9EwuAJ25XAVVEWlqaRowYoa1bt+rQoUO66qqr9PDDD+uFF15QtWr8/8rF4vbbb9fq1atPu79+/folftkmgIpByAEAL8rMzDzjJxYHBQXplltuuYAjAi5dhBwAAGAkHjwGAABGuqRv5BcVFWnv3r2qWbNmhfw+HQAA4H2WZengwYOKiIiQr+/pr9dc0iFn7969vCsFAIAqavfu3bryyitPu/+SDjnFvxBx9+7dcjgclTwaAABQFm63W5GRkR6/2Lg0l3TIKb5F5XA4CDkAAFQxZ3vUhAePAQCAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBI5Q45a9asUZcuXRQRESEfHx/Nnz/fY79lWRo6dKjq1aunoKAgxcbG6scff/Soyc3NVVJSkhwOh0JCQpScnKxDhw551Hz33Xdq166dAgMDFRkZqbFjx5YYy6effqrrrrtOgYGBatq0qb744ovyTgcAABiq3CHn8OHDatasmSZPnlzq/rFjx2rSpEmaOnWqMjIyVKNGDcXFxenYsWN2TVJSkrKyspSWlqaFCxdqzZo16tu3r73f7XarY8eOql+/vjIzMzVu3DgNHz5c06ZNs2vWrl2rbt26KTk5Wd9++626du2qrl27asuWLeWdEgAAMJF1HiRZ8+bNs18XFRVZTqfTGjdunN2Wl5dnBQQEWB9//LFlWZa1detWS5L1zTff2DWLFy+2fHx8rD179liWZVnvvPOOFRoaauXn59s1zz33nNWoUSP79QMPPGDFx8d7jCc6Otp67LHHyjx+l8tlSbJcLleZjwEAAJWrrD+/vfpMzo4dO5Sdna3Y2Fi7LTg4WNHR0UpPT5ckpaenKyQkRK1atbJrYmNj5evrq4yMDLumffv28vf3t2vi4uK0fft2HThwwK45+TzFNcXnKU1+fr7cbrfHBgAAzFTNm51lZ2dLksLDwz3aw8PD7X3Z2dmqW7eu5yCqVVNYWJhHTVRUVIk+iveFhoYqOzv7jOcpzejRozVixIhzmBmAqqjB4EVnrdk5Jv4CjARAZbik3l01ZMgQuVwue9u9e3dlDwkAAFQQr4Ycp9MpScrJyfFoz8nJsfc5nU7t27fPY39hYaFyc3M9akrr4+RznK6meH9pAgIC5HA4PDYAAGAmr4acqKgoOZ1OLV++3G5zu93KyMhQTEyMJCkmJkZ5eXnKzMy0a1asWKGioiJFR0fbNWvWrFFBQYFdk5aWpkaNGik0NNSuOfk8xTXF5wEAAJe2coecQ4cOadOmTdq0aZOk/z5svGnTJu3atUs+Pj7q16+fXn75ZS1YsECbN2/WI488ooiICHXt2lWS1LhxY3Xq1El9+vTR+vXr9fXXXys1NVWJiYmKiIiQJHXv3l3+/v5KTk5WVlaW5s6dq4kTJ6p///72OJ5++mktWbJE48eP17Zt2zR8+HBt2LBBqamp578qAACgyiv3g8cbNmxQhw4d7NfFwaNHjx6aMWOGBg0apMOHD6tv377Ky8vTrbfeqiVLligwMNA+ZtasWUpNTdWdd94pX19fJSQkaNKkSfb+4OBgLVu2TCkpKWrZsqVq166toUOHenyWTtu2bTV79my9+OKLev7559WwYUPNnz9fN9xwwzktBAAAMIuPZVlWZQ+isrjdbgUHB8vlcvF8DmAg3l0FmKmsP78vqXdXAQCASwchBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABG8nrIOXHihF566SVFRUUpKChI11xzjUaNGiXLsuway7I0dOhQ1atXT0FBQYqNjdWPP/7o0U9ubq6SkpLkcDgUEhKi5ORkHTp0yKPmu+++U7t27RQYGKjIyEiNHTvW29MBAABVlNdDzmuvvaYpU6bo7bff1vfff6/XXntNY8eO1VtvvWXXjB07VpMmTdLUqVOVkZGhGjVqKC4uTseOHbNrkpKSlJWVpbS0NC1cuFBr1qxR37597f1ut1sdO3ZU/fr1lZmZqXHjxmn48OGaNm2at6cEAACqIB/r5EssXtC5c2eFh4frgw8+sNsSEhIUFBSkjz76SJZlKSIiQgMGDNCzzz4rSXK5XAoPD9eMGTOUmJio77//Xk2aNNE333yjVq1aSZKWLFmiu+++W7/99psiIiI0ZcoUvfDCC8rOzpa/v78kafDgwZo/f762bdtWprG63W4FBwfL5XLJ4XB4cxkAXAQaDF501pqdY+IvwEgAeFNZf357/UpO27ZttXz5cv3www+SpP/3//6fvvrqK911112SpB07dig7O1uxsbH2McHBwYqOjlZ6erokKT09XSEhIXbAkaTY2Fj5+voqIyPDrmnfvr0dcCQpLi5O27dv14EDB0odW35+vtxut8cGAADMVM3bHQ4ePFhut1vXXXed/Pz8dOLECb3yyitKSkqSJGVnZ0uSwsPDPY4LDw+392VnZ6tu3bqeA61WTWFhYR41UVFRJfoo3hcaGlpibKNHj9aIESO8MEsAAHCx8/qVnE8++USzZs3S7NmztXHjRs2cOVOvv/66Zs6c6e1TlduQIUPkcrnsbffu3ZU9JAAAUEG8fiVn4MCBGjx4sBITEyVJTZs21a+//qrRo0erR48ecjqdkqScnBzVq1fPPi4nJ0fNmzeXJDmdTu3bt8+j38LCQuXm5trHO51O5eTkeNQUvy6uOVVAQIACAgLOf5IAAOCi5/UrOUeOHJGvr2e3fn5+KioqkiRFRUXJ6XRq+fLl9n63262MjAzFxMRIkmJiYpSXl6fMzEy7ZsWKFSoqKlJ0dLRds2bNGhUUFNg1aWlpatSoUam3qgAAwKXF6yGnS5cueuWVV7Ro0SLt3LlT8+bN0xtvvKH/+Z//kST5+PioX79+evnll7VgwQJt3rxZjzzyiCIiItS1a1dJUuPGjdWpUyf16dNH69ev19dff63U1FQlJiYqIiJCktS9e3f5+/srOTlZWVlZmjt3riZOnKj+/ft7e0oAAKAK8vrtqrfeeksvvfSSnnjiCe3bt08RERF67LHHNHToULtm0KBBOnz4sPr27au8vDzdeuutWrJkiQIDA+2aWbNmKTU1VXfeead8fX2VkJCgSZMm2fuDg4O1bNkypaSkqGXLlqpdu7aGDh3q8Vk6AADg0uX1z8mpSvicHMBsfE4OYKZK+5wcAACAiwEhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMVCEhZ8+ePXrooYdUq1YtBQUFqWnTptqwYYO937IsDR06VPXq1VNQUJBiY2P1448/evSRm5urpKQkORwOhYSEKDk5WYcOHfKo+e6779SuXTsFBgYqMjJSY8eOrYjpAACAKsjrIefAgQO65ZZbdNlll2nx4sXaunWrxo8fr9DQULtm7NixmjRpkqZOnaqMjAzVqFFDcXFxOnbsmF2TlJSkrKwspaWlaeHChVqzZo369u1r73e73erYsaPq16+vzMxMjRs3TsOHD9e0adO8PSUAAFAF+ViWZXmzw8GDB+vrr7/W//7v/5a637IsRUREaMCAAXr22WclSS6XS+Hh4ZoxY4YSExP1/fffq0mTJvrmm2/UqlUrSdKSJUt0991367ffflNERISmTJmiF154QdnZ2fL397fPPX/+fG3btq1MY3W73QoODpbL5ZLD4fDC7AFcTBoMXnTWmp1j4i/ASAB4U1l/fnv9Ss6CBQvUqlUr3X///apbt65atGih9957z96/Y8cOZWdnKzY21m4LDg5WdHS00tPTJUnp6ekKCQmxA44kxcbGytfXVxkZGXZN+/bt7YAjSXFxcdq+fbsOHDhQ6tjy8/Pldrs9NgAAYCavh5xffvlFU6ZMUcOGDbV06VL9/e9/11NPPaWZM2dKkrKzsyVJ4eHhHseFh4fb+7Kzs1W3bl2P/dWqVVNYWJhHTWl9nHyOU40ePVrBwcH2FhkZeZ6zBQAAFyuvh5yioiLddNNNevXVV9WiRQv17dtXffr00dSpU719qnIbMmSIXC6Xve3evbuyhwQAACqI10NOvXr11KRJE4+2xo0ba9euXZIkp9MpScrJyfGoycnJsfc5nU7t27fPY39hYaFyc3M9akrr4+RznCogIEAOh8NjAwAAZvJ6yLnlllu0fft2j7YffvhB9evXlyRFRUXJ6XRq+fLl9n63262MjAzFxMRIkmJiYpSXl6fMzEy7ZsWKFSoqKlJ0dLRds2bNGhUUFNg1aWlpatSokcc7uQAAwKXJ6yHnmWee0bp16/Tqq6/qp59+0uzZszVt2jSlpKRIknx8fNSvXz+9/PLLWrBggTZv3qxHHnlEERER6tq1q6T/Xvnp1KmT+vTpo/Xr1+vrr79WamqqEhMTFRERIUnq3r27/P39lZycrKysLM2dO1cTJ05U//79vT0lAABQBVXzdoc333yz5s2bpyFDhmjkyJGKiorShAkTlJSUZNcMGjRIhw8fVt++fZWXl6dbb71VS5YsUWBgoF0za9Yspaam6s4775Svr68SEhI0adIke39wcLCWLVumlJQUtWzZUrVr19bQoUM9PksHAABcurz+OTlVCZ+TA5iNz8kBzFRpn5MDAABwMSDkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIFR5yxowZIx8fH/Xr189uO3bsmFJSUlSrVi1dfvnlSkhIUE5Ojsdxu3btUnx8vKpXr666detq4MCBKiws9KhZtWqVbrrpJgUEBOjaa6/VjBkzKno6AACgiqjQkPPNN9/o3Xff1Y033ujR/swzz+g///mPPv30U61evVp79+7Vvffea+8/ceKE4uPjdfz4ca1du1YzZ87UjBkzNHToULtmx44dio+PV4cOHbRp0yb169dPvXv31tKlSytySgAAoIqosJBz6NAhJSUl6b333lNoaKjd7nK59MEHH+iNN97QHXfcoZYtW2r69Olau3at1q1bJ0latmyZtm7dqo8++kjNmzfXXXfdpVGjRmny5Mk6fvy4JGnq1KmKiorS+PHj1bhxY6Wmpuq+++7Tm2++edox5efny+12e2wAAMBMFRZyUlJSFB8fr9jYWI/2zMxMFRQUeLRfd911uuqqq5Seni5JSk9PV9OmTRUeHm7XxMXFye12Kysry645te+4uDi7j9KMHj1awcHB9hYZGXne8wQAABenCgk5c+bM0caNGzV69OgS+7Kzs+Xv76+QkBCP9vDwcGVnZ9s1Jwec4v3F+85U43a7dfTo0VLHNWTIELlcLnvbvXv3Oc0PAABc/Kp5u8Pdu3fr6aefVlpamgIDA73d/XkJCAhQQEBAZQ8DAABcAF6/kpOZmal9+/bppptuUrVq1VStWjWtXr1akyZNUrVq1RQeHq7jx48rLy/P47icnBw5nU5JktPpLPFuq+LXZ6txOBwKCgry9rQAAEAV4/WQc+edd2rz5s3atGmTvbVq1UpJSUn2ny+77DItX77cPmb79u3atWuXYmJiJEkxMTHavHmz9u3bZ9ekpaXJ4XCoSZMmds3JfRTXFPcBAAAubV6/XVWzZk3dcMMNHm01atRQrVq17Pbk5GT1799fYWFhcjgcevLJJxUTE6M2bdpIkjp27KgmTZro4Ycf1tixY5Wdna0XX3xRKSkp9u2mxx9/XG+//bYGDRqkRx99VCtWrNAnn3yiRYsWeXtKAACgCvJ6yCmLN998U76+vkpISFB+fr7i4uL0zjvv2Pv9/Py0cOFC/f3vf1dMTIxq1KihHj16aOTIkXZNVFSUFi1apGeeeUYTJ07UlVdeqffff19xcXGVMSUAAHCR8bEsy6rsQVQWt9ut4OBguVwuORyOyh4OAC9rMPjsV3Z3jom/ACMB4E1l/fnN764CAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJG8HnJGjx6tm2++WTVr1lTdunXVtWtXbd++3aPm2LFjSklJUa1atXT55ZcrISFBOTk5HjW7du1SfHy8qlevrrp162rgwIEqLCz0qFm1apVuuukmBQQE6Nprr9WMGTO8PR0AAFBFeT3krF69WikpKVq3bp3S0tJUUFCgjh076vDhw3bNM888o//85z/69NNPtXr1au3du1f33nuvvf/EiROKj4/X8ePHtXbtWs2cOVMzZszQ0KFD7ZodO3YoPj5eHTp00KZNm9SvXz/17t1bS5cu9faUAABAFeRjWZZVkSf4448/VLduXa1evVrt27eXy+VSnTp1NHv2bN13332SpG3btqlx48ZKT09XmzZttHjxYnXu3Fl79+5VeHi4JGnq1Kl67rnn9Mcff8jf31/PPfecFi1apC1bttjnSkxMVF5enpYsWVKmsbndbgUHB8vlcsnhcHh/8gAqVYPBi85as3NM/AUYCQBvKuvP7wp/JsflckmSwsLCJEmZmZkqKChQbGysXXPdddfpqquuUnp6uiQpPT1dTZs2tQOOJMXFxcntdisrK8uuObmP4priPkqTn58vt9vtsQEAADNVaMgpKipSv379dMstt+iGG26QJGVnZ8vf318hISEeteHh4crOzrZrTg44xfuL952pxu126+jRo6WOZ/To0QoODra3yMjI854jAAC4OFVoyElJSdGWLVs0Z86cijxNmQ0ZMkQul8vedu/eXdlDAgAAFaRaRXWcmpqqhQsXas2aNbryyivtdqfTqePHjysvL8/jak5OTo6cTqdds379eo/+it99dXLNqe/IysnJkcPhUFBQUKljCggIUEBAwHnPDQAAXPy8fiXHsiylpqZq3rx5WrFihaKiojz2t2zZUpdddpmWL19ut23fvl27du1STEyMJCkmJkabN2/Wvn377Jq0tDQ5HA41adLErjm5j+Ka4j4AAMClzetXclJSUjR79mx9/vnnqlmzpv0MTXBwsIKCghQcHKzk5GT1799fYWFhcjgcevLJJxUTE6M2bdpIkjp27KgmTZro4Ycf1tixY5Wdna0XX3xRKSkp9pWYxx9/XG+//bYGDRqkRx99VCtWrNAnn3yiRYvO/m4KAABgPq9fyZkyZYpcLpduv/121atXz97mzp1r17z55pvq3LmzEhIS1L59ezmdTv373/+29/v5+WnhwoXy8/NTTEyMHnroIT3yyCMaOXKkXRMVFaVFixYpLS1NzZo10/jx4/X+++8rLi7O21MCAABVUIV/Ts7FjM/JAczG5+QAZrpoPicHAACgMhByAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIhBwAAGAkQg4AADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjETIAQAARiLkAAAAIxFyAACAkQg5AADASIQcAABgJEIOAAAwEiEHAAAYiZADAACMRMgBAABGIuQAAAAjEXIAAICRCDkAAMBIVT7kTJ48WQ0aNFBgYKCio6O1fv36yh4SAAC4CFTpkDN37lz1799fw4YN08aNG9WsWTPFxcVp3759lT00AABQyap0yHnjjTfUp08f9erVS02aNNHUqVNVvXp1ffjhh5U9NAAAUMmqVfYAztXx48eVmZmpIUOG2G2+vr6KjY1Venp6qcfk5+crPz/ffu1yuSRJbre7YgcLoFIU5R85aw1//4Gqp/jvrWVZZ6yrsiFn//79OnHihMLDwz3aw8PDtW3btlKPGT16tEaMGFGiPTIyskLGCODiFzyhskcA4FwdPHhQwcHBp91fZUPOuRgyZIj69+9vvy4qKlJubq5q1aolHx+fShxZ5XO73YqMjNTu3bvlcDgqezjGYp0vHNb6wmCdLwzW2ZNlWTp48KAiIiLOWFdlQ07t2rXl5+ennJwcj/acnBw5nc5SjwkICFBAQIBHW0hISEUNsUpyOBz8BboAWOcLh7W+MFjnC4N1/j9nuoJTrMo+eOzv76+WLVtq+fLldltRUZGWL1+umJiYShwZAAC4GFTZKzmS1L9/f/Xo0UOtWrVS69atNWHCBB0+fFi9evWq7KEBAIBKVqVDzoMPPqg//vhDQ4cOVXZ2tpo3b64lS5aUeBgZZxcQEKBhw4aVuJ0H72KdLxzW+sJgnS8M1vnc+Fhne/8VAABAFVRln8kBAAA4E0IOAAAwEiEHAAAYiZADAACMRMgBAABGIuRcwnJzc5WUlCSHw6GQkBAlJyfr0KFDZTrWsizddddd8vHx0fz58yt2oFVcedc5NzdXTz75pBo1aqSgoCBdddVVeuqpp+xfKIv/M3nyZDVo0ECBgYGKjo7W+vXrz1j/6aef6rrrrlNgYKCaNm2qL7744gKNtGorzzq/9957ateunUJDQxUaGqrY2Nizfl3wX+X9fi42Z84c+fj4qGvXrhU7wCqIkHMJS0pKUlZWltLS0rRw4UKtWbNGffv2LdOxEyZMuOR/31dZlXed9+7dq7179+r111/Xli1bNGPGDC1ZskTJyckXcNQXv7lz56p///4aNmyYNm7cqGbNmikuLk779u0rtX7t2rXq1q2bkpOT9e2336pr167q2rWrtmzZcoFHXrWUd51XrVqlbt26aeXKlUpPT1dkZKQ6duyoPXv2XOCRVy3lXediO3fu1LPPPqt27dpdoJFWMRYuSVu3brUkWd98843dtnjxYsvHx8fas2fPGY/99ttvrSuuuML6/fffLUnWvHnzKni0Vdf5rPPJPvnkE8vf398qKCioiGFWSa1bt7ZSUlLs1ydOnLAiIiKs0aNHl1r/wAMPWPHx8R5t0dHR1mOPPVah46zqyrvOpyosLLRq1qxpzZw5s6KGaIRzWefCwkKrbdu21vvvv2/16NHDuueeey7ASKsWruRcotLT0xUSEqJWrVrZbbGxsfL19VVGRsZpjzty5Ii6d++uyZMnn/YXoeL/nOs6n8rlcsnhcKhatSr9IeVec/z4cWVmZio2NtZu8/X1VWxsrNLT00s9Jj093aNekuLi4k5bj3Nb51MdOXJEBQUFCgsLq6hhVnnnus4jR45U3bp1ucp7BvyLeYnKzs5W3bp1PdqqVaumsLAwZWdnn/a4Z555Rm3bttU999xT0UM0wrmu88n279+vUaNGlflW4qVg//79OnHiRIlf4RIeHq5t27aVekx2dnap9WX9OlyKzmWdT/Xcc88pIiKiRMDE/zmXdf7qq6/0wQcfaNOmTRdghFUXV3IMM3jwYPn4+JxxK+s/TqdasGCBVqxYoQkTJnh30FVQRa7zydxut+Lj49WkSRMNHz78/AcOXEBjxozRnDlzNG/ePAUGBlb2cIxx8OBBPfzww3rvvfdUu3btyh7ORY0rOYYZMGCAevbsecaaq6++Wk6ns8QDbYWFhcrNzT3tbagVK1bo559/VkhIiEd7QkKC2rVrp1WrVp3HyKuWilznYgcPHlSnTp1Us2ZNzZs3T5dddtn5DtsYtWvXlp+fn3Jycjzac3JyTruuTqezXPU4t3Uu9vrrr2vMmDH68ssvdeONN1bkMKu88q7zzz//rJ07d6pLly52W1FRkaT/Xinevn27rrnmmooddFVR2Q8FoXIUPxC7YcMGu23p0qVnfCD2999/tzZv3uyxSbImTpxo/fLLLxdq6FXKuayzZVmWy+Wy2rRpY912223W4cOHL8RQq5zWrVtbqamp9usTJ05YV1xxxRkfPO7cubNHW0xMDA8en0V519myLOu1116zHA6HlZ6efiGGaITyrPPRo0dL/Ft8zz33WHfccYe1efNmKz8//0IO/aJGyLmEderUyWrRooWVkZFhffXVV1bDhg2tbt262ft/++03q1GjRlZGRsZp+xDvrjqr8q6zy+WyoqOjraZNm1o//fST9fvvv9tbYWFhZU3jojNnzhwrICDAmjFjhrV161arb9++VkhIiJWdnW1ZlmU9/PDD1uDBg+36r7/+2qpWrZr1+uuvW99//701bNgw67LLLrM2b95cWVOoEsq7zmPGjLH8/f2tzz77zON79+DBg5U1hSqhvOt8Kt5dVTpCziXszz//tLp162ZdfvnllsPhsHr16uXxD9GOHTssSdbKlStP2wch5+zKu84rV660JJW67dixo3ImcZF66623rKuuusry9/e3Wrduba1bt87ed9ttt1k9evTwqP/kk0+sv/zlL5a/v791/fXXW4sWLbrAI66ayrPO9evXL/V7d9iwYRd+4FVMeb+fT0bIKZ2PZVnWhb5FBgAAUNF4dxUAADASIQcAABiJkAMAAIxEyAEAAEYi5AAAACMRcgAAgJEIOQAAwEiEHAAAYCRCDgAAMBIhBwAAGImQAwAAjPT/Aalteh+BE5PoAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1//7f/9PGjRt1+PDhS/CqFNe+fXvFxcXptddeU1ZWlnr27KmdO3fqjTfeUP/+/dW7d++L2v+AAQP0+9//Xu+9954iIyO9HumuqLEPHTpUO3fu1IgRI/T55597ffZLUFCQ+vfv7/z85z//Wd26dVPPnj314IMP6uuvv9YLL7ygvn376tZbb72osZZmxIgRmjt3rmJiYjRy5EhlZmZq8eLFatOmjTweT4Udx+12a9GiRRo2bJg6duyowYMHq379+jpy5IgSExN14403FgvlZdG7d28NGzZML730kg4cOOBc3vvwww/Vu3dvjRkzRn379pW/v7/uuOMOPfTQQzp16pT+8pe/qEGDBqV+pQPgpZKefgIqVNFj1Lt27Spxfc+ePS/4GPXTTz9tOnfubEJCQkzNmjVNq1atzJ///GeTl5fn1Jw5c8Y88sgjpn79+sblcnk9Un3y5Ekzbtw4ExERYWrUqGGuueYa89xzz3k9NmqMMTk5OSY+Pt6EhoaaoKAg079/f7N//34jyeux5qLHgI8fP15sPF9//bX57W9/a0JCQkxwcLAZNGiQOXbsWKmPYp+7j9Ieby7pdSpJfn6+mTFjhmnWrJmpUaOGiYyMNFOmTHEez73QcS5k0KBBRpKZOHFisXUXO3Zjfp57lfK4/dmPAxf58MMPTbdu3UxgYKCpX7++iY+PNx6Px6cxFT3y/NxzzxVbd27fjTHmrbfeMs2bNzf+/v6mQ4cOZsOGDaU+Rn3uPj/44AMjyaxcudKrvbT3yQcffGBiYmJMcHCwCQwMNFdffbUZPny42b17t1Nzvrk8t1/G/Pxeee6550yrVq2Mv7+/qV+/vunXr59JSUlxat5//33Trl07ExgYaJo2bWqeffZZ8/rrrxtJ5vDhw04dj1GjJC5jynjHHoBLJjU1Vb/61a/01ltveV0yAQCUjHtggMuspM8OefHFF1WtWrULfgIuAOBn3AMDXGZz5sxRSkqKevfurerVq2vdunVat26dHnzwwWKf24ErX0FBwQVvdg0KClJQUNBl6hHwy8AlJOAyS0pK0owZM/TZZ5/p1KlTaty4sYYNG6Y//vGPxT53A1e+L7/88oIfljdt2jSvL+oEcPEIMABwEU6fPq1//etf561p3ry5mjdvfpl6BPwyEGAAAIB1uIkXAABYp8pecC8sLNSxY8dUp06dS/KdLQAAoOIZY3Ty5ElFRESc97u3qmyAOXbsGE90AABgqaNHj57328+rbIAp+kK9o0ePFvtKeAAAcGXyeDyKjIws9u3w56qyAabospHb7SbAAABgmQvd/uHTTbzTp0+Xy+XyWlq1auWsP336tOLj41WvXj0FBQVpwIABysjI8NrHkSNHFBsbq1q1aqlBgwaaMGGCzpw541WzZcsWdezYUQEBAWrRooUSEhJ86SYAAKjifH4KqU2bNvr222+d5ezPPxg3bpxWr16tlStXauvWrTp27JjuuusuZ31BQYFiY2OVl5en7du364033lBCQoKmTp3q1Bw+fFixsbHq3bu3UlNTNXbsWI0aNUobNmy4yKECAICqwqfPgZk+fbpWrVql1NTUYuuys7NVv359LVu2TAMHDpQk7du3T61bt1ZycrK6du2qdevW6fbbb9exY8cUFhYmSVq8eLEmTZqk48ePy9/fX5MmTVJiYqI+/fRTZ9+DBw9WVlaW1q9fX+aBeTweBQcHKzs7m0tIAABYoqy/v30+A3PgwAFFRESoefPmGjp0qI4cOSJJSklJUX5+vvr06ePUtmrVSo0bN1ZycrIkKTk5Wdddd50TXiQpJiZGHo9HaWlpTs3Z+yiqKdpHaXJzc+XxeLwWAABQNfkUYLp06aKEhAStX79eixYt0uHDh3XTTTfp5MmTSk9Pl7+/v0JCQry2CQsLU3p6uiQpPT3dK7wUrS9ad74aj8dT4rf4Fpk1a5aCg4OdhUeoAQCounx6Cqlfv37On9u1a6cuXbqoSZMmWrFihWrWrFnhnfPFlClTNH78eOfnosewAABA1XNRXyUQEhKia6+9Vl988YXCw8OVl5enrKwsr5qMjAyFh4dLksLDw4s9lVT084Vq3G73eUNSQECA88g0j04DAFC1XVSAOXXqlA4ePKiGDRuqU6dOqlGjhjZt2uSs379/v44cOaLo6GhJUnR0tPbu3avMzEynJikpSW63W1FRUU7N2fsoqinaBwAAgE8B5oknntDWrVv15Zdfavv27frtb38rPz8/DRkyRMHBwRo5cqTGjx+vDz74QCkpKbr//vsVHR2trl27SpL69u2rqKgoDRs2TP/+97+1YcMGPfnkk4qPj1dAQIAkafTo0Tp06JAmTpyoffv26ZVXXtGKFSs0bty4ih89AACwkk/3wHz99dcaMmSIvv/+e9WvX1/du3fXjh07VL9+fUnSvHnzVK1aNQ0YMEC5ubmKiYnRK6+84mzv5+enNWvW6OGHH1Z0dLRq166tuLg4zZw506lp1qyZEhMTNW7cOM2fP1+NGjXSkiVLFBMTU0FDBgAAtvPpc2BswufAAABgn0v2OTAAAACVjQADAACsQ4ABAADW8ekmXsBWTScnXrDmy9mxl6EnAICKwBkYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGCdiwows2fPlsvl0tixY52206dPKz4+XvXq1VNQUJAGDBigjIwMr+2OHDmi2NhY1apVSw0aNNCECRN05swZr5otW7aoY8eOCggIUIsWLZSQkHAxXQUAAFVIuQPMrl279Oqrr6pdu3Ze7ePGjdPq1au1cuVKbd26VceOHdNdd93lrC8oKFBsbKzy8vK0fft2vfHGG0pISNDUqVOdmsOHDys2Nla9e/dWamqqxo4dq1GjRmnDhg3l7S4AAKhCyhVgTp06paFDh+ovf/mL6tat67RnZ2frr3/9q+bOnaubb75ZnTp10tKlS7V9+3bt2LFDkrRx40Z99tlneuutt9ShQwf169dPTz31lBYuXKi8vDxJ0uLFi9WsWTO98MILat26tcaMGaOBAwdq3rx5FTBkAABgu3IFmPj4eMXGxqpPnz5e7SkpKcrPz/dqb9WqlRo3bqzk5GRJUnJysq677jqFhYU5NTExMfJ4PEpLS3Nqzt13TEyMs4+S5ObmyuPxeC0AAKBqqu7rBsuXL9eePXu0a9euYuvS09Pl7++vkJAQr/awsDClp6c7NWeHl6L1RevOV+PxePTTTz+pZs2axY49a9YszZgxw9fhAAAAC/l0Bubo0aN67LHH9PbbbyswMPBS9alcpkyZouzsbGc5evRoZXcJAABcIj4FmJSUFGVmZqpjx46qXr26qlevrq1bt+qll15S9erVFRYWpry8PGVlZXltl5GRofDwcElSeHh4saeSin6+UI3b7S7x7IskBQQEyO12ey0AAKBq8inA3HLLLdq7d69SU1Od5frrr9fQoUOdP9eoUUObNm1yttm/f7+OHDmi6OhoSVJ0dLT27t2rzMxMpyYpKUlut1tRUVFOzdn7KKop2gcAAPhl8+kemDp16qht27ZebbVr11a9evWc9pEjR2r8+PEKDQ2V2+3WI488oujoaHXt2lWS1LdvX0VFRWnYsGGaM2eO0tPT9eSTTyo+Pl4BAQGSpNGjR2vBggWaOHGiRowYoc2bN2vFihVKTEysiDEDAADL+XwT74XMmzdP1apV04ABA5Sbm6uYmBi98sorzno/Pz+tWbNGDz/8sKKjo1W7dm3FxcVp5syZTk2zZs2UmJiocePGaf78+WrUqJGWLFmimJiYiu4uAACwkMsYYyq7E5eCx+NRcHCwsrOzuR8Gajr5wmfvvpwdexl6AgA4n7L+/ua7kAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdSr8qwR+CfhUVwAAKhdnYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsI5PAWbRokVq166d3G633G63oqOjtW7dOmf96dOnFR8fr3r16ikoKEgDBgxQRkaG1z6OHDmi2NhY1apVSw0aNNCECRN05swZr5otW7aoY8eOCggIUIsWLZSQkFD+EQIAgCrHpwDTqFEjzZ49WykpKdq9e7duvvlm3XnnnUpLS5MkjRs3TqtXr9bKlSu1detWHTt2THfddZezfUFBgWJjY5WXl6ft27frjTfeUEJCgqZOnerUHD58WLGxserdu7dSU1M1duxYjRo1Shs2bKigIQMAANu5jDHmYnYQGhqq5557TgMHDlT9+vW1bNkyDRw4UJK0b98+tW7dWsnJyeratavWrVun22+/XceOHVNYWJgkafHixZo0aZKOHz8uf39/TZo0SYmJifr000+dYwwePFhZWVlav359mfvl8XgUHBys7Oxsud3uixliMU0nJ16w5svZsRV6TFwc5gwA7FDW39/lvgemoKBAy5cvV05OjqKjo5WSkqL8/Hz16dPHqWnVqpUaN26s5ORkSVJycrKuu+46J7xIUkxMjDwej3MWJzk52WsfRTVF+yhNbm6uPB6P1wIAAKomnwPM3r17FRQUpICAAI0ePVrvvvuuoqKilJ6eLn9/f4WEhHjVh4WFKT09XZKUnp7uFV6K1hetO1+Nx+PRTz/9VGq/Zs2apeDgYGeJjIz0dWgAAMASPgeYli1bKjU1VR9//LEefvhhxcXF6bPPPrsUffPJlClTlJ2d7SxHjx6t7C4BAIBLpLqvG/j7+6tFixaSpE6dOmnXrl2aP3++7rnnHuXl5SkrK8vrLExGRobCw8MlSeHh4dq5c6fX/oqeUjq75twnlzIyMuR2u1WzZs1S+xUQEKCAgABfhwMAACx00Z8DU1hYqNzcXHXq1Ek1atTQpk2bnHX79+/XkSNHFB0dLUmKjo7W3r17lZmZ6dQkJSXJ7XYrKirKqTl7H0U1RfsAAADw6QzMlClT1K9fPzVu3FgnT57UsmXLtGXLFm3YsEHBwcEaOXKkxo8fr9DQULndbj3yyCOKjo5W165dJUl9+/ZVVFSUhg0bpjlz5ig9PV1PPvmk4uPjnbMno0eP1oIFCzRx4kSNGDFCmzdv1ooVK5SYeOGnSAAAwC+DTwEmMzNT9913n7799lsFBwerXbt22rBhg379619LkubNm6dq1appwIABys3NVUxMjF555RVnez8/P61Zs0YPP/ywoqOjVbt2bcXFxWnmzJlOTbNmzZSYmKhx48Zp/vz5atSokZYsWaKYmJgKGjIAALDdRX8OzJWKz4HB2ZgzALDDJf8cGAAAgMpCgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOj4FmFmzZumGG25QnTp11KBBA/Xv31/79+/3qjl9+rTi4+NVr149BQUFacCAAcrIyPCqOXLkiGJjY1WrVi01aNBAEyZM0JkzZ7xqtmzZoo4dOyogIEAtWrRQQkJC+UYIAACqHJ8CzNatWxUfH68dO3YoKSlJ+fn56tu3r3JycpyacePGafXq1Vq5cqW2bt2qY8eO6a677nLWFxQUKDY2Vnl5edq+fbveeOMNJSQkaOrUqU7N4cOHFRsbq969eys1NVVjx47VqFGjtGHDhgoYMgAAsJ3LGGPKu/Hx48fVoEEDbd26VT169FB2drbq16+vZcuWaeDAgZKkffv2qXXr1kpOTlbXrl21bt063X777Tp27JjCwsIkSYsXL9akSZN0/Phx+fv7a9KkSUpMTNSnn37qHGvw4MHKysrS+vXry9Q3j8ej4OBgZWdny+12l3eIJWo6OfGCNV/Ojq3QY+LiMGcAYIey/v6+qHtgsrOzJUmhoaGSpJSUFOXn56tPnz5OTatWrdS4cWMlJydLkpKTk3Xdddc54UWSYmJi5PF4lJaW5tScvY+imqJ9lCQ3N1cej8drAQAAVVO5A0xhYaHGjh2rG2+8UW3btpUkpaeny9/fXyEhIV61YWFhSk9Pd2rODi9F64vWna/G4/Hop59+KrE/s2bNUnBwsLNERkaWd2gAAOAKV+4AEx8fr08//VTLly+vyP6U25QpU5Sdne0sR48erewuAQCAS6R6eTYaM2aM1qxZo23btqlRo0ZOe3h4uPLy8pSVleV1FiYjI0Ph4eFOzc6dO732V/SU0tk15z65lJGRIbfbrZo1a5bYp4CAAAUEBJRnOAAAwDI+nYExxmjMmDF69913tXnzZjVr1sxrfadOnVSjRg1t2rTJadu/f7+OHDmi6OhoSVJ0dLT27t2rzMxMpyYpKUlut1tRUVFOzdn7KKop2gcAAPhl8+kMTHx8vJYtW6b33ntPderUce5ZCQ4OVs2aNRUcHKyRI0dq/PjxCg0Nldvt1iOPPKLo6Gh17dpVktS3b19FRUVp2LBhmjNnjtLT0/Xkk08qPj7eOYMyevRoLViwQBMnTtSIESO0efNmrVixQomJF36SBAAAVH0+nYFZtGiRsrOz1atXLzVs2NBZ3nnnHadm3rx5uv322zVgwAD16NFD4eHh+t///V9nvZ+fn9asWSM/Pz9FR0fr3nvv1X333aeZM2c6Nc2aNVNiYqKSkpLUvn17vfDCC1qyZIliYmIqYMgAAMB2F/U5MFcyPgcGZ2POAMAOl+VzYAAAACoDAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALBO9cruAACUR9PJiRes+XJ27GXoCYDKwBkYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKzjc4DZtm2b7rjjDkVERMjlcmnVqlVe640xmjp1qho2bKiaNWuqT58+OnDggFfNiRMnNHToULndboWEhGjkyJE6deqUV81//vMf3XTTTQoMDFRkZKTmzJnj++gAAECV5HOAycnJUfv27bVw4cIS18+ZM0cvvfSSFi9erI8//li1a9dWTEyMTp8+7dQMHTpUaWlpSkpK0po1a7Rt2zY9+OCDznqPx6O+ffuqSZMmSklJ0XPPPafp06frtddeK8cQAQBAVVPd1w369eunfv36lbjOGKMXX3xRTz75pO68805J0v/8z/8oLCxMq1at0uDBg/X5559r/fr12rVrl66//npJ0ssvv6zbbrtNzz//vCIiIvT2228rLy9Pr7/+uvz9/dWmTRulpqZq7ty5XkEHAAD8MlXoPTCHDx9Wenq6+vTp47QFBwerS5cuSk5OliQlJycrJCTECS+S1KdPH1WrVk0ff/yxU9OjRw/5+/s7NTExMdq/f79++OGHEo+dm5srj8fjtQAAgKqpQgNMenq6JCksLMyrPSwszFmXnp6uBg0aeK2vXr26QkNDvWpK2sfZxzjXrFmzFBwc7CyRkZEXPyAAAHBFqjJPIU2ZMkXZ2dnOcvTo0cruEgAAuEQqNMCEh4dLkjIyMrzaMzIynHXh4eHKzMz0Wn/mzBmdOHHCq6akfZx9jHMFBATI7XZ7LQAAoGqq0ADTrFkzhYeHa9OmTU6bx+PRxx9/rOjoaElSdHS0srKylJKS4tRs3rxZhYWF6tKli1Ozbds25efnOzVJSUlq2bKl6tatW5FdBgAAFvI5wJw6dUqpqalKTU2V9PONu6mpqTpy5IhcLpfGjh2rp59+Wu+//7727t2r++67TxEREerfv78kqXXr1rr11lv1wAMPaOfOnfroo480ZswYDR48WBEREZKk3/3ud/L399fIkSOVlpamd955R/Pnz9f48eMrbOAAAMBePj9GvXv3bvXu3dv5uShUxMXFKSEhQRMnTlROTo4efPBBZWVlqXv37lq/fr0CAwOdbd5++22NGTNGt9xyi6pVq6YBAwbopZdectYHBwdr48aNio+PV6dOnXTVVVdp6tSpPEINAAAklSPA9OrVS8aYUte7XC7NnDlTM2fOLLUmNDRUy5YtO+9x2rVrpw8//NDX7gEAgF+AKvMUEgAA+OUgwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArFO9sjsAAKj6mk5OvGDNl7NjL0NPUFVwBgYAAFiHAAMAAKxDgAEAANYhwAAAAOtc0QFm4cKFatq0qQIDA9WlSxft3LmzsrsEAACuAFdsgHnnnXc0fvx4TZs2TXv27FH79u0VExOjzMzMyu4aAACoZFdsgJk7d64eeOAB3X///YqKitLixYtVq1Ytvf7665XdNQAAUMmuyM+BycvLU0pKiqZMmeK0VatWTX369FFycnKJ2+Tm5io3N9f5OTs7W5Lk8XgqvH+FuT9esOZSHBflx5xVPcypXZgvlFXR3wNjzHnrrsgA891336mgoEBhYWFe7WFhYdq3b1+J28yaNUszZswo1h4ZGXlJ+nghwS9WymFxEZizqoc5tQvzhbOdPHlSwcHBpa6/IgNMeUyZMkXjx493fi4sLNSJEydUr149uVyuCjuOx+NRZGSkjh49KrfbXWH7vZJU9TEyPvtV9TFW9fFJVX+MjK/8jDE6efKkIiIizlt3RQaYq666Sn5+fsrIyPBqz8jIUHh4eInbBAQEKCAgwKstJCTkUnVRbre7Sv6lPFtVHyPjs19VH2NVH59U9cfI+MrnfGdeilyRN/H6+/urU6dO2rRpk9NWWFioTZs2KTo6uhJ7BgAArgRX5BkYSRo/frzi4uJ0/fXXq3PnznrxxReVk5Oj+++/v7K7BgAAKtkVG2DuueceHT9+XFOnTlV6ero6dOig9evXF7ux93ILCAjQtGnTil2uqkqq+hgZn/2q+hir+vikqj9GxnfpucyFnlMCAAC4wlyR98AAAACcDwEGAABYhwADAACsQ4ABAADWIcAAAADrEGBKsHDhQjVt2lSBgYHq0qWLdu7ced76lStXqlWrVgoMDNR1112ntWvXXqaelp8vY0xISJDL5fJaAgMDL2NvfbNt2zbdcccdioiIkMvl0qpVqy64zZYtW9SxY0cFBASoRYsWSkhIuOT9LC9fx7dly5Zi8+dyuZSenn55OuyjWbNm6YYbblCdOnXUoEED9e/fX/v377/gdra8D8szPtveg4sWLVK7du2cT2mNjo7WunXrzruNLfMn+T4+2+bvXLNnz5bL5dLYsWPPW3e555AAc4533nlH48eP17Rp07Rnzx61b99eMTExyszMLLF++/btGjJkiEaOHKlPPvlE/fv3V//+/fXpp59e5p6Xna9jlH7+uOhvv/3WWb766qvL2GPf5OTkqH379lq4cGGZ6g8fPqzY2Fj17t1bqampGjt2rEaNGqUNGzZc4p6Wj6/jK7J//36vOWzQoMEl6uHF2bp1q+Lj47Vjxw4lJSUpPz9fffv2VU5OTqnb2PQ+LM/4JLveg40aNdLs2bOVkpKi3bt36+abb9add96ptLS0Euttmj/J9/FJds3f2Xbt2qVXX31V7dq1O29dpcyhgZfOnTub+Ph45+eCggITERFhZs2aVWL93XffbWJjY73aunTpYh566KFL2s+L4esYly5daoKDgy9T7yqWJPPuu++et2bixImmTZs2Xm333HOPiYmJuYQ9qxhlGd8HH3xgJJkffvjhsvSpomVmZhpJZuvWraXW2Pg+LFKW8dn8HixSt25ds2TJkhLX2Tx/Rc43Plvn7+TJk+aaa64xSUlJpmfPnuaxxx4rtbYy5pAzMGfJy8tTSkqK+vTp47RVq1ZNffr0UXJyconbJCcne9VLUkxMTKn1la08Y5SkU6dOqUmTJoqMjLzgvzRsY9sclleHDh3UsGFD/frXv9ZHH31U2d0ps+zsbElSaGhoqTU2z2FZxifZ+x4sKCjQ8uXLlZOTU+p32dk8f2UZn2Tn/MXHxys2NrbY3JSkMuaQAHOW7777TgUFBcW+riAsLKzU+wXS09N9qq9s5Rljy5Yt9frrr+u9997TW2+9pcLCQnXr1k1ff/315ejyJVfaHHo8Hv3000+V1KuK07BhQy1evFj/+Mc/9I9//EORkZHq1auX9uzZU9ldu6DCwkKNHTtWN954o9q2bVtqnW3vwyJlHZ+N78G9e/cqKChIAQEBGj16tN59911FRUWVWGvj/PkyPhvnb/ny5dqzZ49mzZpVpvrKmMMr9ruQcOWIjo72+pdFt27d1Lp1a7366qt66qmnKrFnKIuWLVuqZcuWzs/dunXTwYMHNW/ePL355puV2LMLi4+P16effqp//etfld2VS6Ks47PxPdiyZUulpqYqOztbf//73xUXF6etW7eW+kveNr6Mz7b5O3r0qB577DElJSVd0TcbE2DOctVVV8nPz08ZGRle7RkZGQoPDy9xm/DwcJ/qK1t5xniuGjVq6Fe/+pW++OKLS9HFy660OXS73apZs2Yl9erS6ty58xUfCsaMGaM1a9Zo27ZtatSo0XlrbXsfSr6N71w2vAf9/f3VokULSVKnTp20a9cuzZ8/X6+++mqxWhvnz5fxnetKn7+UlBRlZmaqY8eOTltBQYG2bdumBQsWKDc3V35+fl7bVMYccgnpLP7+/urUqZM2bdrktBUWFmrTpk2lXtuMjo72qpekpKSk814LrUzlGeO5CgoKtHfvXjVs2PBSdfOysm0OK0JqauoVO3/GGI0ZM0bvvvuuNm/erGbNml1wG5vmsDzjO5eN78HCwkLl5uaWuM6m+SvN+cZ3rit9/m655Rbt3btXqampznL99ddr6NChSk1NLRZepEqaw0t2e7Clli9fbgICAkxCQoL57LPPzIMPPmhCQkJMenq6McaYYcOGmcmTJzv1H330kalevbp5/vnnzeeff26mTZtmatSoYfbu3VtZQ7ggX8c4Y8YMs2HDBnPw4EGTkpJiBg8ebAIDA01aWlplDeG8Tp48aT755BPzySefGElm7ty55pNPPjFfffWVMcaYyZMnm2HDhjn1hw4dMrVq1TITJkwwn3/+uVm4cKHx8/Mz69evr6whnJev45s3b55ZtWqVOXDggNm7d6957LHHTLVq1cw///nPyhrCeT388MMmODjYbNmyxXz77bfO8uOPPzo1Nr8PyzM+296DkydPNlu3bjWHDx82//nPf8zkyZONy+UyGzduNMbYPX/G+D4+2+avJOc+hXQlzCEBpgQvv/yyady4sfH39zedO3c2O3bscNb17NnTxMXFedWvWLHCXHvttcbf39+0adPGJCYmXuYe+86XMY4dO9apDQsLM7fddpvZs2dPJfS6bIoeGz53KRpTXFyc6dmzZ7FtOnToYPz9/U3z5s3N0qVLL3u/y8rX8T377LPm6quvNoGBgSY0NNT06tXLbN68uXI6XwYljU2S15zY/D4sz/hsew+OGDHCNGnSxPj7+5v69eubW265xfnlbozd82eM7+Ozbf5Kcm6AuRLm0GWMMZfu/A4AAEDF4x4YAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFjn/wNyk8KY5DiRVwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot histograms for all columns\n",
    "for column in df.columns:\n",
    "    plt.hist(df[column], bins=50)\n",
    "    plt.title(f'Histogram of {column}')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cfdffc7",
   "metadata": {},
   "source": [
    "Вычисленные значения статистик (границ и цетра распределения, вариации, формы распределения) по всем столбцам (для нечисловых данных нужно привести количество уникальных значений и частоту самого встречающегося элемента)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "f53c3c18",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Var1</th>\n",
       "      <th>Var2</th>\n",
       "      <th>Var3</th>\n",
       "      <th>Var4</th>\n",
       "      <th>Var7</th>\n",
       "      <th>Var9</th>\n",
       "      <th>Var10</th>\n",
       "      <th>Var11</th>\n",
       "      <th>Var14</th>\n",
       "      <th>Var15</th>\n",
       "      <th>Var16</th>\n",
       "      <th>Var17</th>\n",
       "      <th>Var18</th>\n",
       "      <th>Var5_numerical</th>\n",
       "      <th>Var6_numerical</th>\n",
       "      <th>Var8_numerical</th>\n",
       "      <th>Var12_numerical</th>\n",
       "      <th>Var13_numerical</th>\n",
       "      <th>Var19_numerical</th>\n",
       "      <th>Var20_numerical</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>1.000000e+04</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.0</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>131.173200</td>\n",
       "      <td>28.126985</td>\n",
       "      <td>0.580800</td>\n",
       "      <td>2.725200</td>\n",
       "      <td>78.496764</td>\n",
       "      <td>160.693814</td>\n",
       "      <td>-4394.700807</td>\n",
       "      <td>-4960.224891</td>\n",
       "      <td>-0.352124</td>\n",
       "      <td>45.344536</td>\n",
       "      <td>1.753700</td>\n",
       "      <td>6.046500</td>\n",
       "      <td>-2.943479e+10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.913900</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.991500</td>\n",
       "      <td>0.740900</td>\n",
       "      <td>0.957000</td>\n",
       "      <td>0.769500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>2.346818</td>\n",
       "      <td>122.726886</td>\n",
       "      <td>16.197552</td>\n",
       "      <td>2.819127</td>\n",
       "      <td>73.665175</td>\n",
       "      <td>683.299672</td>\n",
       "      <td>184.948203</td>\n",
       "      <td>118.163238</td>\n",
       "      <td>299.032521</td>\n",
       "      <td>51.181137</td>\n",
       "      <td>2.808456</td>\n",
       "      <td>5.646284</td>\n",
       "      <td>3.717848e+09</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.896754</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.000364</td>\n",
       "      <td>0.728574</td>\n",
       "      <td>1.268113</td>\n",
       "      <td>0.707121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>108.000000</td>\n",
       "      <td>-182.914807</td>\n",
       "      <td>-79.719805</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.285960</td>\n",
       "      <td>-3096.481909</td>\n",
       "      <td>-5367.082861</td>\n",
       "      <td>-5536.585507</td>\n",
       "      <td>-1425.790345</td>\n",
       "      <td>0.174577</td>\n",
       "      <td>-8.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-5.333179e+10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>130.000000</td>\n",
       "      <td>-77.993038</td>\n",
       "      <td>-10.096690</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.285960</td>\n",
       "      <td>-247.065888</td>\n",
       "      <td>-4507.564202</td>\n",
       "      <td>-5031.166134</td>\n",
       "      <td>-178.800054</td>\n",
       "      <td>9.029093</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>-3.159345e+10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>132.000000</td>\n",
       "      <td>29.313316</td>\n",
       "      <td>-0.055259</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>59.546935</td>\n",
       "      <td>155.160384</td>\n",
       "      <td>-4393.311112</td>\n",
       "      <td>-4960.657825</td>\n",
       "      <td>-2.773720</td>\n",
       "      <td>27.328428</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>-2.925143e+10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>133.000000</td>\n",
       "      <td>134.235085</td>\n",
       "      <td>11.118399</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>111.807910</td>\n",
       "      <td>572.423152</td>\n",
       "      <td>-4281.154409</td>\n",
       "      <td>-4890.149516</td>\n",
       "      <td>179.833037</td>\n",
       "      <td>63.336796</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>-2.706786e+10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>134.000000</td>\n",
       "      <td>236.772269</td>\n",
       "      <td>60.486295</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>320.851811</td>\n",
       "      <td>3737.605592</td>\n",
       "      <td>-3471.949037</td>\n",
       "      <td>-4308.291228</td>\n",
       "      <td>1565.012226</td>\n",
       "      <td>454.706435</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>-1.443748e+10</td>\n",
       "      <td>0.0</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>4.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Var1          Var2          Var3          Var4          Var7  \\\n",
       "count  10000.000000  10000.000000  10000.000000  10000.000000  10000.000000   \n",
       "mean     131.173200     28.126985      0.580800      2.725200     78.496764   \n",
       "std        2.346818    122.726886     16.197552      2.819127     73.665175   \n",
       "min      108.000000   -182.914807    -79.719805      0.000000      7.285960   \n",
       "25%      130.000000    -77.993038    -10.096690      0.000000      7.285960   \n",
       "50%      132.000000     29.313316     -0.055259      2.000000     59.546935   \n",
       "75%      133.000000    134.235085     11.118399      4.000000    111.807910   \n",
       "max      134.000000    236.772269     60.486295     12.000000    320.851811   \n",
       "\n",
       "               Var9         Var10         Var11         Var14         Var15  \\\n",
       "count  10000.000000  10000.000000  10000.000000  10000.000000  10000.000000   \n",
       "mean     160.693814  -4394.700807  -4960.224891     -0.352124     45.344536   \n",
       "std      683.299672    184.948203    118.163238    299.032521     51.181137   \n",
       "min    -3096.481909  -5367.082861  -5536.585507  -1425.790345      0.174577   \n",
       "25%     -247.065888  -4507.564202  -5031.166134   -178.800054      9.029093   \n",
       "50%      155.160384  -4393.311112  -4960.657825     -2.773720     27.328428   \n",
       "75%      572.423152  -4281.154409  -4890.149516    179.833037     63.336796   \n",
       "max     3737.605592  -3471.949037  -4308.291228   1565.012226    454.706435   \n",
       "\n",
       "              Var16         Var17         Var18  Var5_numerical  \\\n",
       "count  10000.000000  10000.000000  1.000000e+04         10000.0   \n",
       "mean       1.753700      6.046500 -2.943479e+10             0.0   \n",
       "std        2.808456      5.646284  3.717848e+09             0.0   \n",
       "min       -8.000000      0.000000 -5.333179e+10             0.0   \n",
       "25%        0.000000      2.000000 -3.159345e+10             0.0   \n",
       "50%        2.000000      4.000000 -2.925143e+10             0.0   \n",
       "75%        4.000000      9.000000 -2.706786e+10             0.0   \n",
       "max       12.000000     24.000000 -1.443748e+10             0.0   \n",
       "\n",
       "       Var6_numerical  Var8_numerical  Var12_numerical  Var13_numerical  \\\n",
       "count    10000.000000         10000.0     10000.000000     10000.000000   \n",
       "mean         0.913900             0.0         1.991500         0.740900   \n",
       "std          0.896754             0.0         1.000364         0.728574   \n",
       "min          0.000000             0.0         0.000000         0.000000   \n",
       "25%          0.000000             0.0         1.000000         0.000000   \n",
       "50%          1.000000             0.0         2.000000         1.000000   \n",
       "75%          1.000000             0.0         3.000000         1.000000   \n",
       "max          3.000000             0.0         4.000000         5.000000   \n",
       "\n",
       "       Var19_numerical  Var20_numerical  \n",
       "count     10000.000000     10000.000000  \n",
       "mean          0.957000         0.769500  \n",
       "std           1.268113         0.707121  \n",
       "min           0.000000         0.000000  \n",
       "25%           0.000000         0.000000  \n",
       "50%           1.000000         1.000000  \n",
       "75%           1.000000         1.000000  \n",
       "max           6.000000         4.000000  "
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7212e022",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Статистика по нечисловым столбцам\n",
    "non_numeric_columns = df.select_dtypes(exclude=[np.number]).columns\n",
    "for column in non_numeric_columns:\n",
    " print(f\"Статистика для столбца '{column}':\")\n",
    " print(f\"Количество уникальных значений: {df[column].nunique()}\")\n",
    " print(f\"Самый встречайющийся символ: {df[column].mode()[0]}\")\n",
    " print(f\"Частота самого встречающегося элемента: {df[column].value_counts().iloc[0]}\")\n",
    " print()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7faccf9d",
   "metadata": {},
   "source": [
    "Преобразовать нечисловые данные в числовые по алфавитному признаку и привести аналогичные вычисления статистик."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aba11296",
   "metadata": {},
   "source": [
    "2. Определение распределений. \n",
    "\n",
    "Проверить каждый столбец на нормальность. Определить оптимальные параметры возможных распределений с помощью метода наибольшего правдоподобия и выяснить наилучшее распределение по каждому из столбцов (либо доказать, что такого распределения среди рассмотренных нет). Рассмотреть как неперывные, так и дискретные типы распределений (ru.wikipedia.org/wiki/Распределение_вероятностей)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b599d9c9",
   "metadata": {},
   "source": [
    "3. Определение зависимостей данных. \n",
    "\n",
    "Определить, есть ли среди столбцов те, между которыми есть зависимость. Если есть, то доказать, используя минимум 3 различных критерия (https://en.wikipedia.org/wiki/List_of_statistical_tests). Построить корреляционную матрицу столбцов (Пирсона). Определить, есть ли более сложная аддитивная зависимость (через линейную регрессию, метод наименьших квадратов и алгоритм Lasso), используя каждый из столбцов в качестве выходного, а остальные считая за входные. Рассмотреть вариант зависимости со степенью выше первой."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "ef3a2372",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculate statistics for all columns\n",
    "stats = {}\n",
    "for column in df.columns:\n",
    "    if df[column].dtype.kind in 'bifc':  # numerical columns\n",
    "        stats[column] = calculate_numerical_stats(df[column])\n",
    "    else:  # categorical columns\n",
    "        stats[column] = calculate_categorical_stats(df[column])\n",
    "        numerical_column = convert_categorical_to_numerical(df[column])\n",
    "        stats[f'{column}_numerical'] = calculate_numerical_stats(numerical_column)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "680d9950",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Statistics for Var1:\n",
      "  min: 108\n",
      "  max: 134\n",
      "  mean: 131.1732\n",
      "  median: 132.0\n",
      "  std: 2.346817529176805\n",
      "  variance: 5.507552515251525\n",
      "  skewness: -2.0054751933449815\n",
      "  kurtosis: 6.203565955781803\n",
      "\n",
      "Statistics for Var2:\n",
      "  min: -182.914807091393\n",
      "  max: 236.772268551691\n",
      "  mean: 28.126985022823256\n",
      "  median: 29.3133163872121\n",
      "  std: 122.72688593238152\n",
      "  variance: 15061.888530659784\n",
      "  skewness: -0.02214813708672141\n",
      "  kurtosis: -1.2079082490750481\n",
      "\n",
      "Statistics for Var3:\n",
      "  min: -79.7198046423326\n",
      "  max: 60.4862951325278\n",
      "  mean: 0.5808003024893323\n",
      "  median: -0.0552590865904765\n",
      "  std: 16.197552056619617\n",
      "  variance: 262.3606926269024\n",
      "  skewness: 0.042893474529265244\n",
      "  kurtosis: 0.10546398072726637\n",
      "\n",
      "Statistics for Var4:\n",
      "  min: 0\n",
      "  max: 12\n",
      "  mean: 2.7252\n",
      "  median: 2.0\n",
      "  std: 2.8191274728133164\n",
      "  variance: 7.947479707970797\n",
      "  skewness: 1.2186940513946096\n",
      "  kurtosis: 0.9418076603021079\n",
      "\n",
      "Statistics for Var5:\n",
      "  unique_values: 1\n",
      "  most_frequent_value: E\n",
      "  most_frequent_value_count: 10000\n",
      "\n",
      "Statistics for Var5_numerical:\n",
      "  min: 0\n",
      "  max: 0\n",
      "  mean: 0.0\n",
      "  median: 0.0\n",
      "  std: 0.0\n",
      "  variance: 0.0\n",
      "  skewness: 0.0\n",
      "  kurtosis: 0.0\n",
      "\n",
      "Statistics for Var6:\n",
      "  unique_values: 4\n",
      "  most_frequent_value: B\n",
      "  most_frequent_value_count: 3884\n",
      "\n",
      "Statistics for Var6_numerical:\n",
      "  min: 0\n",
      "  max: 3\n",
      "  mean: 0.9326\n",
      "  median: 1.0\n",
      "  std: 0.8878829166097074\n",
      "  variance: 0.7883360736073607\n",
      "  skewness: 0.6498009134299972\n",
      "  kurtosis: -0.3944947533846821\n",
      "\n",
      "Statistics for Var7:\n",
      "  min: 7.28595951551145\n",
      "  max: 320.851810630157\n",
      "  mean: 78.49676430364741\n",
      "  median: 59.5469347012857\n",
      "  std: 73.66517545111554\n",
      "  variance: 5426.558074243637\n",
      "  skewness: 1.2186940513946105\n",
      "  kurtosis: 0.9418076603021164\n",
      "\n",
      "Statistics for Var8:\n",
      "  unique_values: 1\n",
      "  most_frequent_value: D\n",
      "  most_frequent_value_count: 10000\n",
      "\n",
      "Statistics for Var8_numerical:\n",
      "  min: 0\n",
      "  max: 0\n",
      "  mean: 0.0\n",
      "  median: 0.0\n",
      "  std: 0.0\n",
      "  variance: 0.0\n",
      "  skewness: 0.0\n",
      "  kurtosis: 0.0\n",
      "\n",
      "Statistics for Var9:\n",
      "  min: -3096.48190909126\n",
      "  max: 3737.60559212205\n",
      "  mean: 160.6938144243069\n",
      "  median: 155.160383840266\n",
      "  std: 683.29967186979\n",
      "  variance: 466898.44157736265\n",
      "  skewness: 0.03495096420492584\n",
      "  kurtosis: 1.2682740428059005\n",
      "\n",
      "Statistics for Var10:\n",
      "  min: -5367.08286088515\n",
      "  max: -3471.94903672637\n",
      "  mean: -4394.7008065602395\n",
      "  median: -4393.31111163542\n",
      "  std: 184.94820305579933\n",
      "  variance: 34205.837813569175\n",
      "  skewness: -0.015269904501845077\n",
      "  kurtosis: 1.070386050035919\n",
      "\n",
      "Statistics for Var11:\n",
      "  min: -5536.58550745373\n",
      "  max: -4308.29122810847\n",
      "  mean: -4960.22489077493\n",
      "  median: -4960.65782497103\n",
      "  std: 118.16323758311982\n",
      "  variance: 13962.550716124822\n",
      "  skewness: 0.04142753641763589\n",
      "  kurtosis: 1.2116922780040178\n",
      "\n",
      "Statistics for Var12:\n",
      "  unique_values: 5\n",
      "  most_frequent_value: L\n",
      "  most_frequent_value_count: 3773\n",
      "\n",
      "Statistics for Var12_numerical:\n",
      "  min: 0\n",
      "  max: 4\n",
      "  mean: 1.4944\n",
      "  median: 1.0\n",
      "  std: 1.2693816498505475\n",
      "  variance: 1.611329772977298\n",
      "  skewness: 0.45974057297305154\n",
      "  kurtosis: -1.0901941761480418\n",
      "\n",
      "Statistics for Var13:\n",
      "  unique_values: 6\n",
      "  most_frequent_value: felt\n",
      "  most_frequent_value_count: 4545\n",
      "\n",
      "Statistics for Var13_numerical:\n",
      "  min: 0\n",
      "  max: 5\n",
      "  mean: 0.697\n",
      "  median: 1.0\n",
      "  std: 0.7416508643563087\n",
      "  variance: 0.5500460046004598\n",
      "  skewness: 0.8350747378468606\n",
      "  kurtosis: 0.3422523650472349\n",
      "\n",
      "Statistics for Var14:\n",
      "  min: -1425.79034534517\n",
      "  max: 1565.01222620143\n",
      "  mean: -0.35212434785335534\n",
      "  median: -2.77372026936973\n",
      "  std: 299.0325212257373\n",
      "  variance: 89420.44875062104\n",
      "  skewness: 0.03495096420492617\n",
      "  kurtosis: 1.268274042805897\n",
      "\n",
      "Statistics for Var15:\n",
      "  min: 0.174576644999888\n",
      "  max: 454.706435461727\n",
      "  mean: 45.3445360515294\n",
      "  median: 27.3284279509342\n",
      "  std: 51.18113676706299\n",
      "  variance: 2619.5087607688065\n",
      "  skewness: 2.08652279593828\n",
      "  kurtosis: 5.837836240651294\n",
      "\n",
      "Statistics for Var16:\n",
      "  min: -8\n",
      "  max: 12\n",
      "  mean: 1.7537\n",
      "  median: 2.0\n",
      "  std: 2.80845599084359\n",
      "  variance: 7.887425052505251\n",
      "  skewness: 0.03776396638323331\n",
      "  kurtosis: -0.05920826795549283\n",
      "\n",
      "Statistics for Var17:\n",
      "  min: 0\n",
      "  max: 24\n",
      "  mean: 6.0465\n",
      "  median: 4.0\n",
      "  std: 5.646284247412652\n",
      "  variance: 31.88052580258026\n",
      "  skewness: 1.115557144992806\n",
      "  kurtosis: 0.5927158416480349\n",
      "\n",
      "Statistics for Var18:\n",
      "  min: -53331791114.4733\n",
      "  max: -14437476613.4004\n",
      "  mean: -29434786576.613125\n",
      "  median: -29251432899.0284\n",
      "  std: 3717848475.3882003\n",
      "  variance: 1.3822397285946366e+19\n",
      "  skewness: -0.4018768100300799\n",
      "  kurtosis: 1.3435629527332424\n",
      "\n",
      "Statistics for Var19:\n",
      "  unique_values: 7\n",
      "  most_frequent_value: lxxxvii\n",
      "  most_frequent_value_count: 4969\n",
      "\n",
      "Statistics for Var19_numerical:\n",
      "  min: 0\n",
      "  max: 6\n",
      "  mean: 1.3714\n",
      "  median: 1.0\n",
      "  std: 1.5828179210689792\n",
      "  variance: 2.5053125712571256\n",
      "  skewness: 0.8124155335269736\n",
      "  kurtosis: -0.3492389290775506\n",
      "\n",
      "Statistics for Var20:\n",
      "  unique_values: 5\n",
      "  most_frequent_value: E\n",
      "  most_frequent_value_count: 4854\n",
      "\n",
      "Statistics for Var20_numerical:\n",
      "  min: 0\n",
      "  max: 4\n",
      "  mean: 0.663\n",
      "  median: 1.0\n",
      "  std: 0.7389760541187083\n",
      "  variance: 0.5460856085608561\n",
      "  skewness: 0.8227344116315508\n",
      "  kurtosis: -0.03431858498049456\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Calculate statistics for all columns\n",
    "stats = {}\n",
    "for column in df.columns:\n",
    "    if df[column].dtype.kind in 'bifc':  # numerical columns\n",
    "        stats[column] = calculate_numerical_stats(df[column])\n",
    "    else:  # categorical columns\n",
    "        stats[column] = calculate_categorical_stats(df[column])\n",
    "        numerical_column = convert_categorical_to_numerical(df[column])\n",
    "        stats[f'{column}_numerical'] = calculate_numerical_stats(numerical_column)\n",
    "# Print statistics for all columns\n",
    "for column, stats in stats.items():\n",
    "    print(f'Statistics for {column}:')\n",
    "    for key, value in stats.items():\n",
    "        print(f'  {key}: {value}')\n",
    "    print()\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "646c80a9-caa6-4c05-87f3-5c9347700aa0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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t4+RtnCo4ONi55wv3fgEAoGrza4Bp1qyZPB6PVq9e7bTl5uZq06ZNiouLkyTFxcUpJydH6enpzpg1a9aosLBQsbGxzpj169crPz/fGZOamqoWLVqobt26/pwyAACw0FkHmCNHjmjr1q3aunWrpN9P3N26dav27Nkjl8ulESNGaOLEiXrvvfe0fft29evXT9HR0erZs6ckqVWrVrrxxht17733avPmzfr44481bNgw9enTR9HR0ZKku+++WzVr1tTAgQOVkZGhf/3rX/qf//kfjRw50m+FAwAAi53t5U1r1641koo9kpKSjDG/X0o9btw4ExUVZYKDg023bt1MZmamzzp++eUXc9ddd5natWub8PBwM2DAAHP48GGfMZ9//rnp3LmzCQ4ONhdccIFJSUk5q3lyGTUAAPYp6+e3yxhjKjA/lZvc3Fy53W55vV7OhwEAwBJl/fyuMlchAQCA6oMAAwAArBNU0RMAgD+i6ZjlZxyzO6XHeZgJgIrAERgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOkEVPQEAKC9Nxyw/45jdKT3Ow0wA+BtHYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHX4LCUClU5bfMAJQvRFgAFRr/OAjYCe+QgIAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB2/B5gTJ05o3LhxatasmUJDQ3XxxRfrqaeekjHGGWOM0fjx49WoUSOFhoYqPj5eX3/9tc96Dh48qMTERIWHhysiIkIDBw7UkSNH/D1dAABgIb8HmKefflovvfSSnn/+ee3cuVNPP/20pk6dqlmzZjljpk6dqpkzZ2r27NnatGmTwsLClJCQoGPHjjljEhMTlZGRodTUVC1btkzr16/X4MGD/T1dAABgIZc5+dCIH9x8882KiorSa6+95rT16tVLoaGhWrBggYwxio6O1qhRo/Twww9Lkrxer6KiojRv3jz16dNHO3fuVOvWrbVlyxZ17NhRkrRy5Up1795d+/btU3R0dLHt5uXlKS8vz3mem5urmJgYeb1ehYeH+7NEAOWsst3IjvvAAOdPbm6u3G73GT+//X4EplOnTlq9erW++uorSdLnn3+u//73v7rpppskSbt27VJWVpbi4+OdZdxut2JjY5WWliZJSktLU0REhBNeJCk+Pl4BAQHatGlTidudMmWK3G6384iJifF3aQAAoJLw+514x4wZo9zcXLVs2VKBgYE6ceKEJk2apMTERElSVlaWJCkqKspnuaioKKcvKytLDRs29J1oUJAiIyOdMadKTk7WyJEjnedFR2AAAEDV4/cA89Zbb2nhwoVatGiR2rRpo61bt2rEiBGKjo5WUlKSvzfnCA4OVnBwcLmtHwAAVB5+DzCjR4/WmDFj1KdPH0lS27Zt9f3332vKlClKSkqSx+ORJGVnZ6tRo0bOctnZ2WrXrp0kyePx6MCBAz7rLSgo0MGDB53lAQBA9eX3c2B+/fVXBQT4rjYwMFCFhYWSpGbNmsnj8Wj16tVOf25urjZt2qS4uDhJUlxcnHJycpSenu6MWbNmjQoLCxUbG+vvKQMAAMv4/QjMLbfcokmTJqlx48Zq06aNPvvsMz333HP6+9//LklyuVwaMWKEJk6cqObNm6tZs2YaN26coqOj1bNnT0lSq1atdOONN+ree+/V7NmzlZ+fr2HDhqlPnz4lXoEEAACqF78HmFmzZmncuHF64IEHdODAAUVHR+u+++7T+PHjnTGPPPKIjh49qsGDBysnJ0edO3fWypUrFRIS4oxZuHChhg0bpm7duikgIEC9evXSzJkz/T1dAABgIb/fB6ayKOt15ADOr8p2j5ey4D4wwPlTYfeBAQAAKG8EGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKwTVNETAIDKrumY5Wccszulx3mYCYAiHIEBAADWIcAAAADrEGAAAIB1CDAAAMA6nMQLwG/KcrIrAPgDR2AAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDrlEmB++OEH3XPPPapXr55CQ0PVtm1bffLJJ06/MUbjx49Xo0aNFBoaqvj4eH399dc+6zh48KASExMVHh6uiIgIDRw4UEeOHCmP6QIAAMv4PcAcOnRI11xzjWrUqKEVK1Zox44devbZZ1W3bl1nzNSpUzVz5kzNnj1bmzZtUlhYmBISEnTs2DFnTGJiojIyMpSamqply5Zp/fr1Gjx4sL+nCwAALOQyxhh/rnDMmDH6+OOP9Z///KfEfmOMoqOjNWrUKD388MOSJK/Xq6ioKM2bN099+vTRzp071bp1a23ZskUdO3aUJK1cuVLdu3fXvn37FB0dfcZ55Obmyu12y+v1Kjw83H8FAihV0zHLK3oKFWZ3So+KngJQJZT18zvI3xt+7733lJCQoN69e2vdunW64IIL9MADD+jee++VJO3atUtZWVmKj493lnG73YqNjVVaWpr69OmjtLQ0RUREOOFFkuLj4xUQEKBNmzbp9ttvL7bdvLw85eXlOc9zc3P9XRoAlKos4Y2QA/iP379C+u677/TSSy+pefPm+vDDD3X//fdr+PDhmj9/viQpKytLkhQVFeWzXFRUlNOXlZWlhg0b+vQHBQUpMjLSGXOqKVOmyO12O4+YmBh/lwYAACoJvweYwsJCXXHFFZo8ebLat2+vwYMH695779Xs2bP9vSkfycnJ8nq9zmPv3r3luj0AAFBx/B5gGjVqpNatW/u0tWrVSnv27JEkeTweSVJ2drbPmOzsbKfP4/HowIEDPv0FBQU6ePCgM+ZUwcHBCg8P93kAAICqye8B5pprrlFmZqZP21dffaUmTZpIkpo1ayaPx6PVq1c7/bm5udq0aZPi4uIkSXFxccrJyVF6erozZs2aNSosLFRsbKy/pwwAACzj95N4H3roIXXq1EmTJ0/WnXfeqc2bN2vOnDmaM2eOJMnlcmnEiBGaOHGimjdvrmbNmmncuHGKjo5Wz549Jf1+xObGG290vnrKz8/XsGHD1KdPnzJdgQQAAKo2vweYK6+8Uu+8846Sk5P15JNPqlmzZpoxY4YSExOdMY888oiOHj2qwYMHKycnR507d9bKlSsVEhLijFm4cKGGDRumbt26KSAgQL169dLMmTP9PV0AAGAhv98HprLgPjDA+Ved7wNTFlxGDZxZWT+/+S0kAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6QRU9AQB2aDpmeUVPAQAcHIEBAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKzDjewA4Dwpy80Ad6f0OA8zAezHERgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOkEVPQEAFa/pmOUVPQUAOCscgQEAANYhwAAAAOuUe4BJSUmRy+XSiBEjnLZjx45p6NChqlevnmrXrq1evXopOzvbZ7k9e/aoR48eqlWrlho2bKjRo0eroKCgvKcLAAAsUK4BZsuWLXr55Zd12WWX+bQ/9NBDev/997VkyRKtW7dO+/fv11//+len/8SJE+rRo4eOHz+uDRs2aP78+Zo3b57Gjx9fntMFAACWKLcAc+TIESUmJuqVV15R3bp1nXav16vXXntNzz33nP785z+rQ4cOmjt3rjZs2KCNGzdKklatWqUdO3ZowYIFateunW666SY99dRTeuGFF3T8+PHymjIAALBEuQWYoUOHqkePHoqPj/dpT09PV35+vk97y5Yt1bhxY6WlpUmS0tLS1LZtW0VFRTljEhISlJubq4yMjBK3l5eXp9zcXJ8HAAComsrlMuo333xTn376qbZs2VKsLysrSzVr1lRERIRPe1RUlLKyspwxJ4eXov6ivpJMmTJFEyZM8MPsAQBAZef3IzB79+7VP/7xDy1cuFAhISH+Xn2pkpOT5fV6ncfevXvP27YBAMD55fcAk56ergMHDuiKK65QUFCQgoKCtG7dOs2cOVNBQUGKiorS8ePHlZOT47Ncdna2PB6PJMnj8RS7KqnoedGYUwUHBys8PNznAQAAqia/B5hu3bpp+/bt2rp1q/Po2LGjEhMTnT/XqFFDq1evdpbJzMzUnj17FBcXJ0mKi4vT9u3bdeDAAWdMamqqwsPD1bp1a39PGQAAWMbv58DUqVNHl156qU9bWFiY6tWr57QPHDhQI0eOVGRkpMLDw/Xggw8qLi5OV199tSTphhtuUOvWrdW3b19NnTpVWVlZGjt2rIYOHarg4GB/TxkAAFimQn4Lafr06QoICFCvXr2Ul5enhIQEvfjii05/YGCgli1bpvvvv19xcXEKCwtTUlKSnnzyyYqYLgAAqGRcxhhT0ZMoD7m5uXK73fJ6vZwPA5wBP+ZYeexO6VHRUwAqVFk/v/ktJAAAYB0CDAAAsE6FnAMDAChZWb7O42smgCMwAADAQgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYJ6iiJwCgfDUds7yipwAAfscRGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1gip6AgD+uKZjllf0FACgQnAEBgAAWIcjMABgmbIcedud0uM8zASoOByBAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1/B5gpkyZoiuvvFJ16tRRw4YN1bNnT2VmZvqMOXbsmIYOHap69eqpdu3a6tWrl7Kzs33G7NmzRz169FCtWrXUsGFDjR49WgUFBf6eLgAAsJDfA8y6des0dOhQbdy4UampqcrPz9cNN9ygo0ePOmMeeughvf/++1qyZInWrVun/fv3669//avTf+LECfXo0UPHjx/Xhg0bNH/+fM2bN0/jx4/393QBAICFXMYYU54b+Omnn9SwYUOtW7dOXbp0kdfrVYMGDbRo0SLdcccdkqQvv/xSrVq1Ulpamq6++mqtWLFCN998s/bv36+oqChJ0uzZs/Xoo4/qp59+Us2aNc+43dzcXLndbnm9XoWHh5dniUCFKcuvEqN64teoYauyfn6X+zkwXq9XkhQZGSlJSk9PV35+vuLj450xLVu2VOPGjZWWliZJSktLU9u2bZ3wIkkJCQnKzc1VRkZGidvJy8tTbm6uzwMAAFRN5RpgCgsLNWLECF1zzTW69NJLJUlZWVmqWbOmIiIifMZGRUUpKyvLGXNyeCnqL+oryZQpU+R2u51HTEyMn6sBAACVRbkGmKFDh+qLL77Qm2++WZ6bkSQlJyfL6/U6j71795b7NgEAQMUIKq8VDxs2TMuWLdP69et14YUXOu0ej0fHjx9XTk6Oz1GY7OxseTweZ8zmzZt91ld0lVLRmFMFBwcrODjYz1UAAIDKyO9HYIwxGjZsmN555x2tWbNGzZo18+nv0KGDatSoodWrVzttmZmZ2rNnj+Li4iRJcXFx2r59uw4cOOCMSU1NVXh4uFq3bu3vKQMAAMv4/QjM0KFDtWjRIi1dulR16tRxzllxu90KDQ2V2+3WwIEDNXLkSEVGRio8PFwPPvig4uLidPXVV0uSbrjhBrVu3Vp9+/bV1KlTlZWVpbFjx2ro0KEcZQEAAP4PMC+99JIk6frrr/dpnzt3rvr37y9Jmj59ugICAtSrVy/l5eUpISFBL774ojM2MDBQy5Yt0/3336+4uDiFhYUpKSlJTz75pL+nCwAALFTu94GpKNwHBtUB94FBabgPDGxVae4DAwAA4G8EGAAAYB0CDAAAsA4BBgAAWKfcbmQH4Nxwgi7ORVn+/+FEX9iMIzAAAMA6BBgAAGAdAgwAALAOAQYAAFiHAAMAAKxDgAEAANYhwAAAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArMOvUQMVgF+aRmXAL1bDZhyBAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1CDAAAMA6BBgAAGAdAgwAALAOAQYAAFgnqKInAFQ1Tccsr+gpAECVR4ABAJSqLIF8d0qP8zATwBdfIQEAAOsQYAAAgHUIMAAAwDoEGAAAYB0CDAAAsA4BBgAAWIcAAwAArEOAAQAA1iHAAAAA63AnXgDAOeFuvagIHIEBAADW4QgMcBb4oUbgj+EoDfyNIzAAAMA6HIEB/j+OrgCAPTgCAwAArEOAAQAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHS6jRrXAJdJA1cAN8VCEIzAAAMA6HIEBAFQKHCnF2SDAoFLjcDEAoCQEGFiPf7UBOBn/8KkeKvU5MC+88IKaNm2qkJAQxcbGavPmzRU9JQAAUAlU2iMw//rXvzRy5EjNnj1bsbGxmjFjhhISEpSZmamGDRtW9PRwBvwLCEBl5q8jt/w9VnFcxhhT0ZMoSWxsrK688ko9//zzkqTCwkLFxMTowQcf1JgxY864fG5urtxut7xer8LDw8t7ujgFX+sAQNkRhP5PWT+/K+URmOPHjys9PV3JyclOW0BAgOLj45WWllbiMnl5ecrLy3Oee71eSb+/ECi7Sx//sKKnAADVDp9V/6fotTjT8ZVKGWB+/vlnnThxQlFRUT7tUVFR+vLLL0tcZsqUKZowYUKx9piYmHKZIwAA/uKeUdEzqHwOHz4st9tdan+lDDB/RHJyskaOHOk8Lyws1MGDB1WvXj25XK4KnNm5yc3NVUxMjPbu3VstvgqrTvVWp1ql6lVvdapVql71VqdapYqp1xijw4cPKzo6+rTjKmWAqV+/vgIDA5Wdne3Tnp2dLY/HU+IywcHBCg4O9mmLiIgorymed+Hh4dViZylSneqtTrVK1ave6lSrVL3qrU61Sue/3tMdeSlSKS+jrlmzpjp06KDVq1c7bYWFhVq9erXi4uIqcGYAAKAyqJRHYCRp5MiRSkpKUseOHXXVVVdpxowZOnr0qAYMGFDRUwMAABWs0gaYv/3tb/rpp580fvx4ZWVlqV27dlq5cmWxE3uruuDgYD3++OPFvh6rqqpTvdWpVql61VudapWqV73VqVapctdbae8DAwAAUJpKeQ4MAADA6RBgAACAdQgwAADAOgQYAABgHQIMAACwDgGmgjRt2lQul8vnkZKS4vR/9NFHuu2229SoUSOFhYWpXbt2Wrhwoc865s2bV2wdISEhPmOMMRo/frwaNWqk0NBQxcfH6+uvvz4vNZ7sTPVK0rZt23TttdcqJCREMTExmjp1arH1LFmyRC1btlRISIjatm2rDz74wKe/stQr/f4Do+3atZPL5dLWrVud9ieeeKLYa+FyuRQWFuaMsem9LVJavbt37y6x3o0bN/osXxXe26q23xYprV6p6uy3t956qxo3bqyQkBA1atRIffv21f79+53+qrbfnqleK/ZbgwrRpEkT8+STT5off/zReRw5csTpnzRpkhk7dqz5+OOPzTfffGNmzJhhAgICzPvvv++MmTt3rgkPD/dZR1ZWls92UlJSjNvtNu+++675/PPPza233mqaNWtmfvvtt/NWqzFnrtfr9ZqoqCiTmJhovvjiC7N48WITGhpqXn75ZWfMxx9/bAIDA83UqVPNjh07zNixY02NGjXM9u3bK129xhgzfPhwc9NNNxlJ5rPPPnPaDx8+7PM6/Pjjj6Z169YmKSnJGWPTe1uktHp37dplJJn//d//9ann+PHjzpiq8t5Wtf22SGn1VqX99rnnnjNpaWlm9+7d5uOPPzZxcXEmLi7O6a9q++2Z6rVhvyXAVJAmTZqY6dOnn9Uy3bt3NwMGDHCez50717jd7lLHFxYWGo/HY6ZNm+a05eTkmODgYLN48eKznfI5OVO9L774oqlbt67Jy8tz2h599FHTokUL5/mdd95pevTo4bNcbGysue+++4wxlaveDz74wLRs2dJkZGQU+0v/VFu3bjWSzPr16502m95bY05fb9FfhKd7Darqe2uM3futMaevt6rttydbunSpcblcPh/YJ6sK++3JTq3Xhv2Wr5AqUEpKiurVq6f27dtr2rRpKigoOO14r9eryMhIn7YjR46oSZMmiomJ0W233aaMjAynb9euXcrKylJ8fLzT5na7FRsbq7S0NP8WUwanqzctLU1dunRRzZo1nbaEhARlZmbq0KFDzpiTaykaU1RLZak3Oztb9957r9544w3VqlXrjONfffVVXXLJJbr22mt92m15b8ta76233qqGDRuqc+fOeu+993z6qup7K9m9356p3qq0357s4MGDWrhwoTp16qQaNWqUOMb2/fZkp6u3Mu+3BJgKMnz4cL355ptau3at7rvvPk2ePFmPPPJIqePfeustbdmyxee3oFq0aKHXX39dS5cu1YIFC1RYWKhOnTpp3759kqSsrCxJKvbzC1FRUU7f+XKmerOyskqcZ1Hf6cac3H/yciWNKW/GGPXv319DhgxRx44dzzj+2LFjWrhwoQYOHOjTbst7W5Z6a9eurWeffVZLlizR8uXL1blzZ/Xs2dPnL8Oq+N5Kdu+3Zam3quy3RR599FGFhYWpXr162rNnj5YuXVriONv32yKnq9eG/ZYA40djxowp8aSnkx9ffvmlpN9/rPL666/XZZddpiFDhujZZ5/VrFmzlJeXV2y9a9eu1YABA/TKK6+oTZs2TntcXJz69eundu3a6brrrtO///1vNWjQQC+//LLV9VZGZa111qxZOnz4sJKTk8u03nfeeUeHDx9WUlKST7st721Z6q1fv75Gjhyp2NhYXXnllUpJSdE999yjadOmnZdazqS83lvb99uzrbcyOpu/oyRp9OjR+uyzz7Rq1SoFBgaqX79+MiX82o7t+22R09Vb2fdbqRL/mKONRo0apf79+592zEUXXVRie2xsrAoKCrR79261aNHCaV+3bp1uueUWTZ8+Xf369TvtumvUqKH27dvrm2++kSR5PB5Jvx8GbtSokTMuOztb7dq1K0NFp+fPej0ej7Kzs33GFD0vqqO0MSf3F7X5u96y1rpmzRqlpaUV++Gzjh07KjExUfPnz/dpf/XVV3XzzTef8UdKK+t7e7b1FomNjVVqaqrzvKq9t1Vhvy1LvVVlvy1Sv3591a9fX5dccolatWqlmJgYbdy4UXFxcT7L2L7fFilrvUUq034riauQKosFCxaYgIAAc/DgQadt7dq1JiwszDz//PNlWkdBQYFp0aKFeeihh4wx/3cC1TPPPOOM8Xq9leKEsVPrLToZ8OQT5pKTk4udDHjzzTf7rCcuLq7YCWMVWe/3339vtm/f7jw+/PBDI8m8/fbbZu/evT5jv/vuO+NyuXyuUClNZX1vz6bekw0aNMi0b9/eeV6V3tuqst+Wpd6qst+W5PvvvzeSzNq1a33aq8J+W5LS6j1ZZdtvCTAVYMOGDWb69Olm69at5ttvvzULFiwwDRo0MP369XPGrFmzxtSqVcskJyf7XML2yy+/OGMmTJhgPvzwQ/Ptt9+a9PR006dPHxMSEmIyMjKcMSkpKSYiIsIsXbrUbNu2zdx2223n/ZK9stSbk5NjoqKiTN++fc0XX3xh3nzzTVOrVq1il2MGBQWZZ555xuzcudM8/vjjJV6yV9H1nux0Z/KPHTvWREdHm4KCgmJ9try3pyqp3nnz5plFixaZnTt3mp07d5pJkyaZgIAA8/rrrztjqsp7W5X221OVVG9V2W83btxoZs2aZT777DOze/dus3r1atOpUydz8cUXm2PHjvmMrQr7bVnqtWG/JcBUgPT0dBMbG2vcbrcJCQkxrVq1MpMnT/bZUZKSkoykYo/rrrvOGTNixAjTuHFjU7NmTRMVFWW6d+9uPv30U59tFRYWmnHjxpmoqCgTHBxsunXrZjIzM89XqcaYstVrjDGff/656dy5swkODjYXXHCBSUlJKbaut956y1xyySWmZs2apk2bNmb58uU+/ZWh3pOVFmBOnDhhLrzwQvPYY4+VuJwt7+2pSgswrVq1MrVq1TLh4eHmqquuMkuWLCm2bFV4b6vSfnuq0v5frgr77bZt20zXrl1NZGSkCQ4ONk2bNjVDhgwx+/bt8xlXVfbbstRrw37rMqaEM5QAAAAqMa5CAgAA1iHAAAAA6xBgAACAdQgwAADAOgQYAABgHQIMAACwDgEGAABYhwADAACsQ4ABAADWIcAAAADrEGAAAIB1/h/bFAr9kjQ7HQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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l0aNH69FHH5UkFRYWKiIiQnPnztXAgQO1efNmtWvXTl9++aW6d+8uSVq2bJmuvfZa/fzzz4qKijptP4qKihQSEqLCwkK5XC5PjxnAGajMaZfqxCkewPt48vvboxmUyy+/XJmZmfr+++8lSV9//bU+/fRT9e/fX5K0fft25eXlKT4+3lknJCREsbGxysrKkiRlZWUpNDTUCSeSFB8fL19fX61du7bC/RYXF6uoqMjtBQAAai+PLpIdO3asioqK1KZNG/n5+enYsWN69tlnlZSUJEnKy8uTJEVERLitFxER4SzLy8tTeHi4eyf8/RUWFubUnCgtLU0TJkzwpKsAAMCLeTSD8t577+ntt9/W/Pnz9dVXX2nevHl6/vnnNW/evHPVP0lSSkqKCgsLndfOnTvP6f4AAEDN8mgGZcyYMRo7dqwGDhwoSerYsaN++uknpaWladCgQYqMjJQk5efnq2nTps56+fn56ty5syQpMjJSu3fvdtvu0aNHtXfvXmf9EwUGBiowMNCTrgIAAC/m0QzKoUOH5Ovrvoqfn59KS0slSTExMYqMjFRmZqazvKioSGvXrlVcXJwkKS4uTgUFBcrOznZqVqxYodLSUsXGxp7xgQAAgNrDoxmU66+/Xs8++6yaNWum9u3ba/369Zo2bZr+/ve/S5J8fHw0cuRITZo0Sa1atVJMTIzGjRunqKgo3XTTTZKktm3bql+/frrvvvs0e/ZslZSUaNiwYRo4cGCl7uABAAC1n0cBZebMmRo3bpweeugh7d69W1FRUbr//vuVmprq1Dz22GM6ePCghg4dqoKCAl155ZVatmyZgoKCnJq3335bw4YNU58+feTr66sBAwbohRdeqLqjAuAR224hBgCPnoNiC56DAlQtbwwoPAcF8D7n7DkoAAAA1YGAAgAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADWIaAAAADrEFAAAIB1CCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB0CCgAAsA4BBQAAWIeAAgAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADW8a/pDgDAmWgxdvFpa3LTE6uhJwDOBWZQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADWIaAAAADrEFAAAIB1eJIsUMtV5omrAGAbZlAAAIB1CCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB0CCgAAsA4BBQAAWIeAAgAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHY8Dyi+//KI777xTjRo1UnBwsDp27Kh169Y5y40xSk1NVdOmTRUcHKz4+Hht3brVbRt79+5VUlKSXC6XQkNDNWTIEB04cODsjwYAANQKHgWUffv26YorrlCdOnW0dOlSbdq0Sf/4xz/UsGFDp2bKlCl64YUXNHv2bK1du1b16tVTQkKCDh8+7NQkJSUpJydHGRkZ+vjjj7V69WoNHTq06o4KAAB4NR9jjKls8dixY/XZZ5/pf//7X4XLjTGKiorS6NGj9eijj0qSCgsLFRERoblz52rgwIHavHmz2rVrpy+//FLdu3eXJC1btkzXXnutfv75Z0VFRZ22H0VFRQoJCVFhYaFcLldluw+cl1qMXVzTXbBabnpiTXcBOG948vvboxmUjz76SN27d9ett96q8PBwdenSRa+99pqzfPv27crLy1N8fLzTFhISotjYWGVlZUmSsrKyFBoa6oQTSYqPj5evr6/Wrl1b4X6Li4tVVFTk9gIAALWXRwHlxx9/1Msvv6xWrVrpP//5jx588EGNGDFC8+bNkyTl5eVJkiIiItzWi4iIcJbl5eUpPDzcbbm/v7/CwsKcmhOlpaUpJCTEeUVHR3vSbQAA4GU8CiilpaXq2rWrJk+erC5dumjo0KG67777NHv27HPVP0lSSkqKCgsLndfOnTvP6f4AAEDN8iigNG3aVO3atXNra9u2rXbs2CFJioyMlCTl5+e71eTn5zvLIiMjtXv3brflR48e1d69e52aEwUGBsrlcrm9AABA7eVRQLniiiu0ZcsWt7bvv/9ezZs3lyTFxMQoMjJSmZmZzvKioiKtXbtWcXFxkqS4uDgVFBQoOzvbqVmxYoVKS0sVGxt7xgcCAABqD39Pih955BFdfvnlmjx5sm677TZ98cUXevXVV/Xqq69Kknx8fDRy5EhNmjRJrVq1UkxMjMaNG6eoqCjddNNNkv6ccenXr59zaqikpETDhg3TwIEDK3UHDwAAqP08CiiXXXaZFi1apJSUFE2cOFExMTGaMWOGkpKSnJrHHntMBw8e1NChQ1VQUKArr7xSy5YtU1BQkFPz9ttva9iwYerTp498fX01YMAAvfDCC1V3VAAAwKt59BwUW/AcFKDyeA7KqfEcFKD6nLPnoAAAAFQHAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB0CCgAAsA4BBQAAWIeAAgAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADWIaAAAADrEFAAAIB1CCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB3/mu4AANSkFmMXn7YmNz2xGnoC4HjMoAAAAOsQUAAAgHU4xQN4scqcngAAb8QMCgAAsA4BBQAAWIeAAgAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADWIaAAAADrEFAAAIB1CCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB0CCgAAsA4BBQAAWIeAAgAArENAAQAA1jmrgJKeni4fHx+NHDnSaTt8+LCSk5PVqFEj1a9fXwMGDFB+fr7bejt27FBiYqLq1q2r8PBwjRkzRkePHj2brgAAgFrkjAPKl19+qVdeeUWXXnqpW/sjjzyif//731q4cKFWrVqlXbt26eabb3aWHzt2TImJiTpy5IjWrFmjefPmae7cuUpNTT3zowAAALXKGQWUAwcOKCkpSa+99poaNmzotBcWFuqNN97QtGnTdM0116hbt26aM2eO1qxZo88//1yStHz5cm3atElvvfWWOnfurP79++uZZ57RrFmzdOTIkao5KgAA4NXOKKAkJycrMTFR8fHxbu3Z2dkqKSlxa2/Tpo2aNWumrKwsSVJWVpY6duyoiIgIpyYhIUFFRUXKycmpcH/FxcUqKipyewEAgNrL39MVFixYoK+++kpffvlluWV5eXkKCAhQaGioW3tERITy8vKcmuPDSdnysmUVSUtL04QJEzztKgAA8FIezaDs3LlTDz/8sN5++20FBQWdqz6Vk5KSosLCQue1c+fOats3AACofh4FlOzsbO3evVtdu3aVv7+//P39tWrVKr3wwgvy9/dXRESEjhw5ooKCArf18vPzFRkZKUmKjIwsd1dP2c9lNScKDAyUy+VyewEAgNrLo4DSp08fbdy4URs2bHBe3bt3V1JSkvPnOnXqKDMz01lny5Yt2rFjh+Li4iRJcXFx2rhxo3bv3u3UZGRkyOVyqV27dlV0WAAAwJt5dA1KgwYN1KFDB7e2evXqqVGjRk77kCFDNGrUKIWFhcnlcmn48OGKi4tTz549JUl9+/ZVu3btdNddd2nKlCnKy8vTU089peTkZAUGBlbRYQHer8XYxTXdBQCoMR5fJHs606dPl6+vrwYMGKDi4mIlJCTopZdecpb7+fnp448/1oMPPqi4uDjVq1dPgwYN0sSJE6u6KwAAwEv5GGNMTXfCU0VFRQoJCVFhYSHXo6DWYgbFHrnpiTXdBaBW8OT3N9/FAwAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADWIaAAAADrEFAAAIB1qvzbjAGgtqnMFzfyhYJA1WIGBQAAWIeAAgAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADWIaAAAADrEFAAAIB1CCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB3/mu4AcD5qMXZxTXcBAKzGDAoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB0e1AYAVaAyD9/LTU+shp4AtQMzKAAAwDoEFAAAYB0CCgAAsA4BBQAAWIeAAgAArMNdPEAVq8zdHACAU2MGBQAAWIeAAgAArENAAQAA1iGgAAAA6xBQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh4ACAACsQ0ABAADWIaAAAADrEFAAAIB1PAooaWlpuuyyy9SgQQOFh4frpptu0pYtW9xqDh8+rOTkZDVq1Ej169fXgAEDlJ+f71azY8cOJSYmqm7dugoPD9eYMWN09OjRsz8aAABQK3gUUFatWqXk5GR9/vnnysjIUElJifr27auDBw86NY888oj+/e9/a+HChVq1apV27dqlm2++2Vl+7NgxJSYm6siRI1qzZo3mzZunuXPnKjU1teqOCgAAeDUfY4w505V/++03hYeHa9WqVerVq5cKCwvVpEkTzZ8/X7fccosk6bvvvlPbtm2VlZWlnj17aunSpbruuuu0a9cuRURESJJmz56txx9/XL/99psCAgLK7ae4uFjFxcXOz0VFRYqOjlZhYaFcLteZdh84J1qMXVzTXYClctMTa7oLQI0qKipSSEhIpX5/n9U1KIWFhZKksLAwSVJ2drZKSkoUHx/v1LRp00bNmjVTVlaWJCkrK0sdO3Z0wokkJSQkqKioSDk5ORXuJy0tTSEhIc4rOjr6bLoNAAAsd8YBpbS0VCNHjtQVV1yhDh06SJLy8vIUEBCg0NBQt9qIiAjl5eU5NceHk7LlZcsqkpKSosLCQue1c+fOM+02AADwAv5numJycrK+/fZbffrpp1XZnwoFBgYqMDDwnO8HAADY4YwCyrBhw/Txxx9r9erVuvDCC532yMhIHTlyRAUFBW6zKPn5+YqMjHRqvvjiC7ftld3lU1YDALVRZa5P4joV4E8eneIxxmjYsGFatGiRVqxYoZiYGLfl3bp1U506dZSZmem0bdmyRTt27FBcXJwkKS4uThs3btTu3budmoyMDLlcLrVr1+5sjgUAANQSHs2gJCcna/78+frwww/VoEED55qRkJAQBQcHKyQkREOGDNGoUaMUFhYml8ul4cOHKy4uTj179pQk9e3bV+3atdNdd92lKVOmKC8vT0899ZSSk5M5jQMAACR5GFBefvllSdLVV1/t1j5nzhwNHjxYkjR9+nT5+vpqwIABKi4uVkJCgl566SWn1s/PTx9//LEefPBBxcXFqV69eho0aJAmTpx4dkcCAABqjbN6DkpN8eQ+aqC68RwUnA2uQUFtVm3PQQEAADgXCCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoefRcPcL7jMfYAUD0IKABgkcqEYL6vB+cDTvEAAADrEFAAAIB1CCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB0CCgAAsA7fZgz8/yrzLbIAgOrBDAoAALAOAQUAAFiHgAIAAKxDQAEAANYhoAAAAOsQUAAAgHW4zRjnBW4hBgDvwgwKAACwDjMoAOBlKjMjmJueWA09Ac4dZlAAAIB1CCgAAMA6BBQAAGAdAgoAALAOAQUAAFiHu3gAoBbiTh94O2ZQAACAdQgoAADAOgQUAABgHQIKAACwDgEFAABYh7t4AOA8xZ0+sBkzKAAAwDoEFAAAYB1O8cDrVWaaGgDgXZhBAQAA1iGgAAAA6xBQAACAdbgGBVbj+hIAOD8xgwIAAKxDQAEAANbhFA8A4KR42ixqCjMoAADAOgQUAABgHU7xAADOCqeBcC4wgwIAAKzDDApqDM84AQCcDAEFAHDOcRoIniKgwE1VzWrwFw2Ac4Ggc/6o0YAya9YsTZ06VXl5eerUqZNmzpypHj161GSXAAA1hNO+OJ6PMcbUxI7fffdd3X333Zo9e7ZiY2M1Y8YMLVy4UFu2bFF4ePgp1y0qKlJISIgKCwvlcrmqqcd244MNAJXHLEvN8OT3d40FlNjYWF122WV68cUXJUmlpaWKjo7W8OHDNXbs2FOue74FFMIHAFQ/QkzV8+T3d42c4jly5Iiys7OVkpLitPn6+io+Pl5ZWVnl6ouLi1VcXOz8XFhYKOnPA/V2Hcb/p6a7AACoQLNHFp625tsJCdXQE89U5vdKTfW77Pd2ZeZGaiSg/P777zp27JgiIiLc2iMiIvTdd9+Vq09LS9OECRPKtUdHR5+zPgIAcDohM2q6B2empvu9f/9+hYSEnLLGK+7iSUlJ0ahRo5yfS0tLtXfvXjVq1Eg+Pj6nXLeoqEjR0dHauXPneXE66GwxXpXHWHmG8ao8xqryGCvP1PR4GWO0f/9+RUVFnba2RgJK48aN5efnp/z8fLf2/Px8RUZGlqsPDAxUYGCgW1toaKhH+3S5XLx5PcB4VR5j5RnGq/IYq8pjrDxTk+N1upmTMjXyqPuAgAB169ZNmZmZTltpaakyMzMVFxdXE10CAAAWqbFTPKNGjdKgQYPUvXt39ejRQzNmzNDBgwd1zz331FSXAACAJWosoNx+++367bfflJqaqry8PHXu3FnLli0rd+Hs2QoMDNT48ePLnSJCxRivymOsPMN4VR5jVXmMlWe8abxq7DkoAAAAJ1Mj16AAAACcCgEFAABYh4ACAACsQ0ABAADWIaAAAADreHVAefbZZ3X55Zerbt26J32yrI+PT7nXggUL3Go++eQTde3aVYGBgbr44os1d+7cctuZNWuWWrRooaCgIMXGxuqLL744B0d07lRmrHbs2KHExETVrVtX4eHhGjNmjI4ePepWcz6MVUVatGhR7n2Unp7uVvPNN9/oqquuUlBQkKKjozVlypRy21m4cKHatGmjoKAgdezYUUuWLKmuQ6hRtfE94amnn3663HuoTZs2zvLDhw8rOTlZjRo1Uv369TVgwIByT9uuzGfUG61evVrXX3+9oqKi5OPjow8++MBtuTFGqampatq0qYKDgxUfH6+tW7e61ezdu1dJSUlyuVwKDQ3VkCFDdODAAbeaynxGvcHpxmvw4MHl3mv9+vVzq/GK8TJeLDU11UybNs2MGjXKhISEVFgjycyZM8f8+uuvzuuPP/5wlv/444+mbt26ZtSoUWbTpk1m5syZxs/PzyxbtsypWbBggQkICDBvvvmmycnJMffdd58JDQ01+fn55/oQq8zpxuro0aOmQ4cOJj4+3qxfv94sWbLENG7c2KSkpDg158tYVaR58+Zm4sSJbu+jAwcOOMsLCwtNRESESUpKMt9++6155513THBwsHnllVecms8++8z4+fmZKVOmmE2bNpmnnnrK1KlTx2zcuLEmDqna1Nb3hKfGjx9v2rdv7/Ye+u2335zlDzzwgImOjjaZmZlm3bp1pmfPnubyyy93llfmM+qtlixZYp588knzr3/9y0gyixYtcluenp5uQkJCzAcffGC+/vprc8MNN5iYmBi3v8v79etnOnXqZD7//HPzv//9z1x88cXmjjvucJZX5jPqLU43XoMGDTL9+vVze6/t3bvXrcYbxsurA0qZOXPmnDKgnPg/73iPPfaYad++vVvb7bffbhISEpyfe/ToYZKTk52fjx07ZqKiokxaWtpZ9bsmnGyslixZYnx9fU1eXp7T9vLLLxuXy2WKi4uNMeffWB2vefPmZvr06Sdd/tJLL5mGDRs6Y2WMMY8//rhp3bq18/Ntt91mEhMT3daLjY01999/f5X31ya19T3hqfHjx5tOnTpVuKygoMDUqVPHLFy40GnbvHmzkWSysrKMMZX7jNYGJ/6dXVpaaiIjI83UqVOdtoKCAhMYGGjeeecdY4wxmzZtMpLMl19+6dQsXbrU+Pj4mF9++cUYU7nPqDc6WUC58cYbT7qOt4yXV5/iqazk5GQ1btxYPXr00Jtvvilz3LPpsrKyFB8f71afkJCgrKwsSdKRI0eUnZ3tVuPr66v4+HinpjbIyspSx44d3Z7km5CQoKKiIuXk5Dg15/NYpaenq1GjRurSpYumTp3qNrWelZWlXr16KSAgwGlLSEjQli1btG/fPqfmVONXG9X294Sntm7dqqioKLVs2VJJSUnasWOHJCk7O1slJSVu49SmTRs1a9bMGafKfEZro+3btysvL89tbEJCQhQbG+s2NqGhoerevbtTEx8fL19fX61du9apOd1ntDb55JNPFB4ertatW+vBBx/Unj17nGXeMl419qj76jJx4kRdc801qlu3rpYvX66HHnpIBw4c0IgRIyRJeXl55R6vHxERoaKiIv3xxx/at2+fjh07VmHNd999V23Hca6dbBzKlp2q5nwYqxEjRqhr164KCwvTmjVrlJKSol9//VXTpk2T9OfYxMTEuK1z/Pg1bNjwpONXNr610e+//15r3xOeio2N1dy5c9W6dWv9+uuvmjBhgq666ip9++23ysvLU0BAQLnrw45/f1TmM1oblR3bqT47eXl5Cg8Pd1vu7++vsLAwt5rTfUZri379+unmm29WTEyMfvjhBz3xxBPq37+/srKy5Ofn5zXjZV1AGTt2rJ577rlT1mzevNnt4rJTGTdunPPnLl266ODBg5o6daoTULxZVY/V+caT8Rs1apTTdumllyogIED333+/0tLSvOI7LVDz+vfv7/z50ksvVWxsrJo3b6733ntPwcHBNdgz1DYDBw50/tyxY0ddeumluuiii/TJJ5+oT58+Ndgzz1gXUEaPHq3BgwefsqZly5ZnvP3Y2Fg988wzKi4uVmBgoCIjI8tdKZ+fny+Xy6Xg4GD5+fnJz8+vwprIyMgz7kdVqMqxioyMLHdnRdkxlx2nN49VRc5m/GJjY3X06FHl5uaqdevWJx0b6fTjZ+PYVJXGjRt71XuiOoWGhuqSSy7Rtm3b9Je//EVHjhxRQUGB2yzK8eNUmc9obVR2bPn5+WratKnTnp+fr86dOzs1u3fvdlvv6NGj2rt372k/f8fvo7Zq2bKlGjdurG3btqlPnz5eM17WXYPSpEkTtWnT5pSv48+JeWrDhg1q2LCh86/euLg4ZWZmutVkZGQoLi5OkhQQEKBu3bq51ZSWliozM9OpqSlVOVZxcXHauHGj25s2IyNDLpdL7dq1c2q8dawqcjbjt2HDBvn6+jrTpHFxcVq9erVKSkqcmoyMDLVu3dqZCj3d+NVG3vaeqE4HDhzQDz/8oKZNm6pbt26qU6eO2zht2bJFO3bscMapMp/R2igmJkaRkZFuY1NUVKS1a9e6jU1BQYGys7OdmhUrVqi0tFSxsbFOzek+o7XVzz//rD179jgBz2vGq9ouxz0HfvrpJ7N+/XozYcIEU79+fbN+/Xqzfv16s3//fmOMMR999JF57bXXzMaNG83WrVvNSy+9ZOrWrWtSU1OdbZTdOjtmzBizefNmM2vWrApvnQ0MDDRz5841mzZtMkOHDjWhoaFuV9Pb7nRjVXYLY9++fc2GDRvMsmXLTJMmTSq8zbi2j9WJ1qxZY6ZPn242bNhgfvjhB/PWW2+ZJk2amLvvvtupKSgoMBEREeauu+4y3377rVmwYIGpW7duuduM/f39zfPPP282b95sxo8ff97cZlzb3hNnYvTo0eaTTz4x27dvN5999pmJj483jRs3Nrt37zbG/HmbcbNmzcyKFSvMunXrTFxcnImLi3PWr8xn1Fvt37/f+TtJkpk2bZpZv369+emnn4wxf95mHBoaaj788EPzzTffmBtvvLHC24y7dOli1q5daz799FPTqlUrt9tmK/MZ9RanGq/9+/ebRx991GRlZZnt27eb//73v6Zr166mVatW5vDhw842vGG8vDqgDBo0yEgq91q5cqUx5s/bpjp37mzq169v6tWrZzp16mRmz55tjh075radlStXms6dO5uAgADTsmVLM2fOnHL7mjlzpmnWrJkJCAgwPXr0MJ9//nk1HGHVOd1YGWNMbm6u6d+/vwkODjaNGzc2o0ePNiUlJW7bOR/G6kTZ2dkmNjbWhISEmKCgINO2bVszefJktw+7McZ8/fXX5sorrzSBgYHmggsuMOnp6eW29d5775lLLrnEBAQEmPbt25vFixdX12HUqNr2njgTt99+u2natKkJCAgwF1xwgbn99tvNtm3bnOV//PGHeeihh0zDhg1N3bp1zV//+lfz66+/um2jMp9Rb7Ry5coK/34aNGiQMebPW43HjRtnIiIiTGBgoOnTp4/ZsmWL2zb27Nlj7rjjDlO/fn3jcrnMPffc4/wDrExlPqPe4FTjdejQIdO3b1/TpEkTU6dOHdO8eXNz3333lfsHgTeMl48xx91zCwAAYAHrrkEBAAAgoAAAAOsQUAAAgHUIKAAAwDoEFAAAYB0CCgAAsA4BBQAAWIeAAgAArENAAQAA1iGgAAAA6xBQAACAdf4/rYajXpCOKKcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MdIUZSYqKipKXl5cyMjJcNYMGDZKPj4+rJjo6Wjk5OTp69GiVxz158qSKi4vdFgAAcGHweKB5+umn5e3trYcffrjK8by8PAUHB7ut8/b2VlBQkPLy8lw1ISEhbjUVrytqzrRgwQIFBAS4lrCwsPOdCgAAsIRHA01mZqaeeeYZrV69Wg6Hw5O7rtGMGTNUVFTkWnJzcxv0+AAAoPF4NNB8+OGHKigoUKdOneTt7S1vb28dOHBAjz32mLp06SJJCg0NVUFBgdt2p06d0pEjRxQaGuqqyc/Pd6upeF1RcyZfX1/5+/u7LQAA4MLg0UAzbtw47d69W1lZWa7F6XRq6tSpevfddyVJkZGRKiwsVGZmpmu7LVu2qLy8XBEREa6atLQ0lZWVuWpSUlLUvXt3tW3b1pMtAwCAZqDOTzkdO3ZMX331lev1vn37lJWVpaCgIHXq1Ent2rVzq2/ZsqVCQ0PVvXt3SVLPnj110003aeLEiVq5cqXKysqUkJCgsWPHuh7xvvvuuzV37lzFxcVp2rRp+vzzz/XMM89o6dKl5zNXAM1Il+kba6zZvzCmxhoAzUOdA83OnTs1ZMgQ1+spU6ZIksaPH6/Vq1fXah9r165VQkKChg4dKi8vL40ePVrLly93jQcEBGjz5s2Kj49X//791b59e82aNYtHtgEAQJXqHGgGDx4sY0yt6/fv319pXVBQkNatW3fW7fr06aMPP/ywru0BAIALEN/lBAAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWM+7sRsAgMbUZfrGGmv2L4xpgE4AnA+u0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwXp0DTVpamm655RY5nU45HA6tX7/eNVZWVqZp06apd+/eat26tZxOp+655x4dPnzYbR9HjhxRbGys/P39FRgYqLi4OB07dsytZvfu3br++uvl5+ensLAwJSYmntsMAQBAs1fnQFNSUqK+ffsqKSmp0tjx48e1a9cuzZw5U7t27dLrr7+unJwc3XrrrW51sbGxys7OVkpKijZs2KC0tDRNmjTJNV5cXKxhw4apc+fOyszM1KJFizRnzhytWrXqHKYIAACaO++6bjB8+HANHz68yrGAgAClpKS4rfvTn/6kgQMH6uDBg+rUqZP27NmjTZs2aceOHRowYIAkacWKFRoxYoQWL14sp9OptWvXqrS0VC+88IJ8fHzUq1cvZWVlacmSJW7BBwAAQGqAe2iKiorkcDgUGBgoSUpPT1dgYKArzEhSVFSUvLy8lJGR4aoZNGiQfHx8XDXR0dHKycnR0aNHqzzOyZMnVVxc7LYAAIALQ52v0NTFiRMnNG3aNN11113y9/eXJOXl5Sk4ONi9CW9vBQUFKS8vz1UTHh7uVhMSEuIaa9u2baVjLViwQHPnzq2PaQDNXpfpG2us2b8wpgE6AYBzU29XaMrKynTHHXfIGKNnn322vg7jMmPGDBUVFbmW3Nzcej8mAABoGurlCk1FmDlw4IC2bNniujojSaGhoSooKHCrP3XqlI4cOaLQ0FBXTX5+vltNxeuKmjP5+vrK19fXk9MAAACW8PgVmoows3fvXr333ntq166d23hkZKQKCwuVmZnpWrdlyxaVl5crIiLCVZOWlqaysjJXTUpKirp3717lx00AAODCVudAc+zYMWVlZSkrK0uStG/fPmVlZengwYMqKyvT7bffrp07d2rt2rU6ffq08vLylJeXp9LSUklSz549ddNNN2nixInavn27Pv74YyUkJGjs2LFyOp2SpLvvvls+Pj6Ki4tTdna2XnnlFT3zzDOaMmWK52YOAACajTp/5LRz504NGTLE9boiZIwfP15z5szRW2+9JUnq16+f23bvv/++Bg8eLElau3atEhISNHToUHl5eWn06NFavny5qzYgIECbN29WfHy8+vfvr/bt22vWrFk8sg0AAKpU50AzePBgGWOqHT/bWIWgoCCtW7furDV9+vTRhx9+WNf2AADABYjvcgIAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwXp0DTVpamm655RY5nU45HA6tX7/ebdwYo1mzZqljx45q1aqVoqKitHfvXreaI0eOKDY2Vv7+/goMDFRcXJyOHTvmVrN7925df/318vPzU1hYmBITE+s+OwAAcEGoc6ApKSlR3759lZSUVOV4YmKili9frpUrVyojI0OtW7dWdHS0Tpw44aqJjY1Vdna2UlJStGHDBqWlpWnSpEmu8eLiYg0bNkydO3dWZmamFi1apDlz5mjVqlXnMEUAANDcedd1g+HDh2v48OFVjhljtGzZMj3xxBMaOXKkJOlvf/ubQkJCtH79eo0dO1Z79uzRpk2btGPHDg0YMECStGLFCo0YMUKLFy+W0+nU2rVrVVpaqhdeeEE+Pj7q1auXsrKytGTJErfg81MnT57UyZMnXa+Li4vrOjUAAGApj95Ds2/fPuXl5SkqKsq1LiAgQBEREUpPT5ckpaenKzAw0BVmJCkqKkpeXl7KyMhw1QwaNEg+Pj6umujoaOXk5Ojo0aNVHnvBggUKCAhwLWFhYZ6cGgAAaMI8Gmjy8vIkSSEhIW7rQ0JCXGN5eXkKDg52G/f29lZQUJBbTVX7+OkxzjRjxgwVFRW5ltzc3POfEAAAsEKdP3Jqqnx9feXr69vYbQAAgEbg0Ss0oaGhkqT8/Hy39fn5+a6x0NBQFRQUuI2fOnVKR44ccaupah8/PQYAAEAFjwaa8PBwhYaGKjU11bWuuLhYGRkZioyMlCRFRkaqsLBQmZmZrpotW7aovLxcERERrpq0tDSVlZW5alJSUtS9e3e1bdvWky0DAIBmoM6B5tixY8rKylJWVpakH28EzsrK0sGDB+VwODR58mQ99dRTeuutt/TZZ5/pnnvukdPp1KhRoyRJPXv21E033aSJEydq+/bt+vjjj5WQkKCxY8fK6XRKku6++275+PgoLi5O2dnZeuWVV/TMM89oypQpHps4AABoPup8D83OnTs1ZMgQ1+uKkDF+/HitXr1ajz/+uEpKSjRp0iQVFhbquuuu06ZNm+Tn5+faZu3atUpISNDQoUPl5eWl0aNHa/ny5a7xgIAAbd68WfHx8erfv7/at2+vWbNmVfvINgAAuLDVOdAMHjxYxphqxx0Oh+bNm6d58+ZVWxMUFKR169ad9Th9+vTRhx9+WNf2AADABYjvcgIAANYj0AAAAOs1m79DAwBNXZfpG2us2b8wpgE6AZofrtAAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB63o3dAICqdZm+scaa/QtjGqATAGj6uEIDAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB6BBoAAGA9jwea06dPa+bMmQoPD1erVq3UtWtXPfnkkzLGuGqMMZo1a5Y6duyoVq1aKSoqSnv37nXbz5EjRxQbGyt/f38FBgYqLi5Ox44d83S7AACgGfB4oHn66af17LPP6k9/+pP27Nmjp59+WomJiVqxYoWrJjExUcuXL9fKlSuVkZGh1q1bKzo6WidOnHDVxMbGKjs7WykpKdqwYYPS0tI0adIkT7cLAACaAY//Yb1t27Zp5MiRion58Q9+denSRS+99JK2b98u6cerM8uWLdMTTzyhkSNHSpL+9re/KSQkROvXr9fYsWO1Z88ebdq0STt27NCAAQMkSStWrNCIESO0ePFiOZ1OT7cNAAAs5vErNNdcc41SU1P15ZdfSpL+9a9/6aOPPtLw4cMlSfv27VNeXp6ioqJc2wQEBCgiIkLp6emSpPT0dAUGBrrCjCRFRUXJy8tLGRkZVR735MmTKi4udlsAAMCFweNXaKZPn67i4mL16NFDLVq00OnTp/WHP/xBsbGxkqS8vDxJUkhIiNt2ISEhrrG8vDwFBwe7N+rtraCgIFfNmRYsWKC5c+d6ejoAAMACHr9C849//ENr167VunXrtGvXLq1Zs0aLFy/WmjVrPH0oNzNmzFBRUZFryc3NrdfjAQCApsPjV2imTp2q6dOna+zYsZKk3r1768CBA1qwYIHGjx+v0NBQSVJ+fr46duzo2i4/P1/9+vWTJIWGhqqgoMBtv6dOndKRI0dc25/J19dXvr6+np4OAACwgMev0Bw/flxeXu67bdGihcrLyyVJ4eHhCg0NVWpqqmu8uLhYGRkZioyMlCRFRkaqsLBQmZmZrpotW7aovLxcERERnm4ZAABYzuNXaG655Rb94Q9/UKdOndSrVy99+umnWrJkiX77299KkhwOhyZPnqynnnpK3bp1U3h4uGbOnCmn06lRo0ZJknr27KmbbrpJEydO1MqVK1VWVqaEhASNHTuWJ5wAAEAlHg80K1as0MyZM/Xggw+qoKBATqdT9913n2bNmuWqefzxx1VSUqJJkyapsLBQ1113nTZt2iQ/Pz9Xzdq1a5WQkKChQ4fKy8tLo0eP1vLlyz3dLgAAaAY8HmjatGmjZcuWadmyZdXWOBwOzZs3T/Pmzau2JigoSOvWrfN0ewAAoBniu5wAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWM/j37YNAKhfXaZvrLFm/8KYBugEaDq4QgMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFivXgLNoUOH9Otf/1rt2rVTq1at1Lt3b+3cudM1bozRrFmz1LFjR7Vq1UpRUVHau3ev2z6OHDmi2NhY+fv7KzAwUHFxcTp27Fh9tAsAACzn8UBz9OhRXXvttWrZsqXeeecdffHFF/rjH/+otm3bumoSExO1fPlyrVy5UhkZGWrdurWio6N14sQJV01sbKyys7OVkpKiDRs2KC0tTZMmTfJ0uwAAoBnw9vQOn376aYWFhSk5Odm1Ljw83PXPxhgtW7ZMTzzxhEaOHClJ+tvf/qaQkBCtX79eY8eO1Z49e7Rp0ybt2LFDAwYMkCStWLFCI0aM0OLFi+V0Oj3dNgAAsJjHr9C89dZbGjBggMaMGaPg4GBdccUV+stf/uIa37dvn/Ly8hQVFeVaFxAQoIiICKWnp0uS0tPTFRgY6AozkhQVFSUvLy9lZGRUedyTJ0+quLjYbQEAABcGjwea//znP3r22WfVrVs3vfvuu3rggQf08MMPa82aNZKkvLw8SVJISIjbdiEhIa6xvLw8BQcHu417e3srKCjIVXOmBQsWKCAgwLWEhYV5emoAAKCJ8nigKS8v15VXXqn58+friiuu0KRJkzRx4kStXLnS04dyM2PGDBUVFbmW3Nzcej0eAABoOjweaDp27KjLLrvMbV3Pnj118OBBSVJoaKgkKT8/360mPz/fNRYaGqqCggK38VOnTunIkSOumjP5+vrK39/fbQEAABcGjweaa6+9Vjk5OW7rvvzyS3Xu3FnSjzcIh4aGKjU11TVeXFysjIwMRUZGSpIiIyNVWFiozMxMV82WLVtUXl6uiIgIT7cMAAAs5/GnnB599FFdc801mj9/vu644w5t375dq1at0qpVqyRJDodDkydP1lNPPaVu3bopPDxcM2fOlNPp1KhRoyT9eEXnpptucn1UVVZWpoSEBI0dO5YnnAAAQCUeDzRXXXWV3njjDc2YMUPz5s1TeHi4li1bptjYWFfN448/rpKSEk2aNEmFhYW67rrrtGnTJvn5+blq1q5dq4SEBA0dOlReXl4aPXq0li9f7ul2AY/rMn1jjTX7F8Y0QCcAcOHweKCRpJtvvlk333xzteMOh0Pz5s3TvHnzqq0JCgrSunXr6qM9AADQzPBdTgAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFjPu7EbAAA0XV2mb6yxZv/CmAboBDg7rtAAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1qv3QLNw4UI5HA5NnjzZte7EiROKj49Xu3btdNFFF2n06NHKz8932+7gwYOKiYnRz372MwUHB2vq1Kk6depUfbcLAAAsVK+BZseOHXruuefUp08ft/WPPvqo/vnPf+rVV1/V1q1bdfjwYf3qV79yjZ8+fVoxMTEqLS3Vtm3btGbNGq1evVqzZs2qz3YBAICl6i3QHDt2TLGxsfrLX/6itm3butYXFRXp+eef15IlS3TjjTeqf//+Sk5O1rZt2/TJJ59IkjZv3qwvvvhCL774ovr166fhw4frySefVFJSkkpLS+urZQAAYKl6CzTx8fGKiYlRVFSU2/rMzEyVlZW5re/Ro4c6deqk9PR0SVJ6erp69+6tkJAQV010dLSKi4uVnZ1d5fFOnjyp4uJitwUAAFwYvOtjpy+//LJ27dqlHTt2VBrLy8uTj4+PAgMD3daHhIQoLy/PVfPTMFMxXjFWlQULFmju3Lke6B4AANjG41docnNz9cgjj2jt2rXy8/Pz9O6rNWPGDBUVFbmW3NzcBjs2AABoXB4PNJmZmSooKNCVV14pb29veXt7a+vWrVq+fLm8vb0VEhKi0tJSFRYWum2Xn5+v0NBQSVJoaGilp54qXlfUnMnX11f+/v5uCwAAuDB4PNAMHTpUn332mbKyslzLgAEDFBsb6/rnli1bKjU11bVNTk6ODh48qMjISElSZGSkPvvsMxUUFLhqUlJS5O/vr8suu8zTLQMAAMt5/B6aNm3a6PLLL3db17p1a7Vr1861Pi4uTlOmTFFQUJD8/f310EMPKTIyUldffbUkadiwYbrssss0btw4JSYmKi8vT0888YTi4+Pl6+vr6ZYBAIDl6uWm4JosXbpUXl5eGj16tE6ePKno6Gj9+c9/do23aNFCGzZs0AMPPKDIyEi1bt1a48eP17x58xqjXQAA0MQ1SKD54IMP3F77+fkpKSlJSUlJ1W7TuXNnvf322/XcGQAAaA74LicAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUa5Q/rAQ2ty/SNNdbsXxjTAJ0AAOoDV2gAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CDQAAsB6BBgAAWI9AAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPe/GbgAA0Px1mb6xxpr9C2MaoBM0V1yhAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADreTzQLFiwQFdddZXatGmj4OBgjRo1Sjk5OW41J06cUHx8vNq1a6eLLrpIo0ePVn5+vlvNwYMHFRMTo5/97GcKDg7W1KlTderUKU+3CwAAmgGPB5qtW7cqPj5en3zyiVJSUlRWVqZhw4appKTEVfPoo4/qn//8p1599VVt3bpVhw8f1q9+9SvX+OnTpxUTE6PS0lJt27ZNa9as0erVqzVr1ixPtwsAAJoBj3855aZNm9xer169WsHBwcrMzNSgQYNUVFSk559/XuvWrdONN94oSUpOTlbPnj31ySef6Oqrr9bmzZv1xRdf6L333lNISIj69eunJ598UtOmTdOcOXPk4+Pj6bYBAIDF6v0emqKiIklSUFCQJCkzM1NlZWWKiopy1fTo0UOdOnVSenq6JCk9PV29e/dWSEiIqyY6OlrFxcXKzs6u8jgnT55UcXGx2wIAAC4M9RpoysvLNXnyZF177bW6/PLLJUl5eXny8fFRYGCgW21ISIjy8vJcNT8NMxXjFWNVWbBggQICAlxLWFiYh2cDAACaqnoNNPHx8fr888/18ssv1+dhJEkzZsxQUVGRa8nNza33YwIAgKbB4/fQVEhISNCGDRuUlpamiy++2LU+NDRUpaWlKiwsdLtKk5+fr9DQUFfN9u3b3fZX8RRURc2ZfH195evr6+FZoLF1mb6xxpr9C2MaoBMAQFPm8Ss0xhglJCTojTfe0JYtWxQeHu423r9/f7Vs2VKpqamudTk5OTp48KAiIyMlSZGRkfrss89UUFDgqklJSZG/v78uu+wyT7cMAAAs5/ErNPHx8Vq3bp3efPNNtWnTxnXPS0BAgFq1aqWAgADFxcVpypQpCgoKkr+/vx566CFFRkbq6quvliQNGzZMl112mcaNG6fExETl5eXpiSeeUHx8PFdhAABAJR4PNM8++6wkafDgwW7rk5OTNWHCBEnS0qVL5eXlpdGjR+vkyZOKjo7Wn//8Z1dtixYttGHDBj3wwAOKjIxU69atNX78eM2bN8/T7QIAgGbA44HGGFNjjZ+fn5KSkpSUlFRtTefOnfX22297sjUAANBM8V1OAADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALCex7/LCQCAxtRl+sYaa/YvjGmATtCQuEIDAACsR6ABAADWI9AAAADrEWgAAID1CDQAAMB6BBoAAGA9Ag0AALAegQYAAFiPQAMAAKxHoAEAANYj0AAAAOsRaAAAgPUINAAAwHoEGgAAYD3vxm4A9ukyfWONNfsXxjRAJwAA/IgrNAAAwHoEGgAAYD0+cgIAoAp8vG4XrtAAAADrEWgAAID1CDQAAMB63ENzgajNZ8ESnwcDAOzEFRoAAGA9Ag0AALAegQYAAFivSd9Dk5SUpEWLFikvL099+/bVihUrNHDgwMZuCwAAj+Jv3py/JnuF5pVXXtGUKVM0e/Zs7dq1S3379lV0dLQKCgoauzUAANDENNkrNEuWLNHEiRP1m9/8RpK0cuVKbdy4US+88IKmT5/eyN15BokcAADPaJKBprS0VJmZmZoxY4ZrnZeXl6KiopSenl7lNidPntTJkyddr4uKiiRJxcXF9dvseSg/ebzGGk/1X5tj1fZ4Ta1vej5/9Hz++6kNej7//dTGhdzz5bPfrbHm87nRteqpsVTM0xhTtw1NE3To0CEjyWzbts1t/dSpU83AgQOr3Gb27NlGEgsLCwsLC0szWHJzc+uUHZrkFZpzMWPGDE2ZMsX1ury8XEeOHFG7du3kcDgara/i4mKFhYUpNzdX/v7+jdZHfWF+9mvuc2R+9mvuc2zu85PqNkdjjL7//ns5nc46HaNJBpr27durRYsWys/Pd1ufn5+v0NDQKrfx9fWVr6+v27rAwMD6arHO/P39m+0PqsT8moPmPkfmZ7/mPsfmPj+p9nMMCAio876b5FNOPj4+6t+/v1JTU13rysvLlZqaqsjIyEbsDAAANEVN8gqNJE2ZMkXjx4/XgAEDNHDgQC1btkwlJSWup54AAAAqNNlAc+edd+q///2vZs2apby8PPXr10+bNm1SSEhIY7dWJ76+vpo9e3alj8OaC+Znv+Y+R+Znv+Y+x+Y+P6lh5ugwpq7PRQEAADQtTfIeGgAAgLog0AAAAOsRaAAAgPUINAAAwHoEGgAAYD0CjQd98MEHcjgcVS47duyodrvBgwdXqr///vsbsPO66dKlS6V+Fy5ceNZtTpw4ofj4eLVr104XXXSRRo8eXekvQTcF+/fvV1xcnMLDw9WqVSt17dpVs2fPVmlp6Vm3a+rnMCkpSV26dJGfn58iIiK0ffv2s9a/+uqr6tGjh/z8/NS7d2+9/fbbDdRp3SxYsEBXXXWV2rRpo+DgYI0aNUo5OTln3Wb16tWVzpWfn18DdVx3c+bMqdRvjx49zrqNLedPqvr/TxwOh+Lj46usb+rnLy0tTbfccoucTqccDofWr1/vNm6M0axZs9SxY0e1atVKUVFR2rt3b437revvcH062xzLyso0bdo09e7dW61bt5bT6dQ999yjw4cPn3Wf5/JzfiYCjQddc801+vbbb92We++9V+Hh4RowYMBZt504caLbdomJiQ3U9bmZN2+eW78PPfTQWesfffRR/fOf/9Srr76qrVu36vDhw/rVr37VQN3W3r///W+Vl5frueeeU3Z2tpYuXaqVK1fq97//fY3bNtVz+Morr2jKlCmaPXu2du3apb59+yo6OloFBQVV1m/btk133XWX4uLi9Omnn2rUqFEaNWqUPv/88wbuvGZbt25VfHy8PvnkE6WkpKisrEzDhg1TSUnJWbfz9/d3O1cHDhxooI7PTa9evdz6/eijj6qtten8SdKOHTvc5paSkiJJGjNmTLXbNOXzV1JSor59+yopKanK8cTERC1fvlwrV65URkaGWrdurejoaJ04caLafdb1d7i+nW2Ox48f165duzRz5kzt2rVLr7/+unJycnTrrbfWuN+6/JxX6Zy+Dhu1Ulpaajp06GDmzZt31robbrjBPPLIIw3TlAd07tzZLF26tNb1hYWFpmXLlubVV191rduzZ4+RZNLT0+uhQ89KTEw04eHhZ61pyudw4MCBJj4+3vX69OnTxul0mgULFlRZf8cdd5iYmBi3dREREea+++6r1z49oaCgwEgyW7durbYmOTnZBAQENFxT52n27Nmmb9++ta63+fwZY8wjjzxiunbtasrLy6sct+n8STJvvPGG63V5ebkJDQ01ixYtcq0rLCw0vr6+5qWXXqp2P3X9HW5IZ86xKtu3bzeSzIEDB6qtqevPeVW4QlOP3nrrLX333Xe1+rqGtWvXqn379rr88ss1Y8YMHT9+vAE6PHcLFy5Uu3btdMUVV2jRokU6depUtbWZmZkqKytTVFSUa12PHj3UqVMnpaenN0S756WoqEhBQUE11jXFc1haWqrMzEy3997Ly0tRUVHVvvfp6elu9ZIUHR1tzbmSVOP5OnbsmDp37qywsDCNHDlS2dnZDdHeOdu7d6+cTqcuueQSxcbG6uDBg9XW2nz+SktL9eKLL+q3v/2tHA5HtXW2nb8K+/btU15entv5CQgIUERERLXn51x+h5uaoqIiORyOGr8wui4/51Vpsl990Bw8//zzio6O1sUXX3zWurvvvludO3eW0+nU7t27NW3aNOXk5Oj1119voE7r5uGHH9aVV16poKAgbdu2TTNmzNC3336rJUuWVFmfl5cnHx+fSj/MISEhysvLa4COz91XX32lFStWaPHixWeta6rn8H//+59Onz5d6StDQkJC9O9//7vKbfLy8qqsb+rnqry8XJMnT9a1116ryy+/vNq67t2764UXXlCfPn1UVFSkxYsX65prrlF2dnaNv6uNISIiQqtXr1b37t317bffau7cubr++uv1+eefq02bNpXqbT1/krR+/XoVFhZqwoQJ1dbYdv5+quIc1OX8nMvvcFNy4sQJTZs2TXfddddZv2W7rj/nVTqv6zsXiGnTphlJZ1327Nnjtk1ubq7x8vIyr732Wp2Pl5qaaiSZr776ylNTqNG5zLHC888/b7y9vc2JEyeqHF+7dq3x8fGptP6qq64yjz/+uEfnUZ1zmd8333xjunbtauLi4up8vMY4h1U5dOiQkWS2bdvmtn7q1Klm4MCBVW7TsmVLs27dOrd1SUlJJjg4uN769IT777/fdO7c2eTm5tZpu9LSUtO1a1fzxBNP1FNnnnX06FHj7+9v/vrXv1Y5buv5M8aYYcOGmZtvvrlO2zTl86czPo75+OOPjSRz+PBht7oxY8aYO+64o8p9nMvvcEM6c44/VVpaam655RZzxRVXmKKiojrtt6af86pwhaYWHnvssbP+F4MkXXLJJW6vk5OT1a5du1rdCHWmiIgIST9eHejatWudtz8X5zLHChERETp16pT279+v7t27VxoPDQ1VaWmpCgsL3a7S5OfnKzQ09HzarrW6zu/w4cMaMmSIrrnmGq1atarOx2uMc1iV9u3bq0WLFpWeKDvbex8aGlqn+qYgISFBGzZsUFpaWp3/K71ly5a64oor9NVXX9VTd54VGBioX/ziF9X2a+P5k6QDBw7ovffeq/NVTZvOX8U5yM/PV8eOHV3r8/Pz1a9fvyq3OZff4aagrKxMd9xxhw4cOKAtW7ac9epMVWr6Oa8KgaYWOnTooA4dOtS63hij5ORk3XPPPWrZsmWdj5eVlSVJbj/w9a2uc/yprKwseXl5KTg4uMrx/v37q2XLlkpNTdXo0aMlSTk5OTp48KAiIyPPuee6qMv8Dh06pCFDhqh///5KTk6Wl1fdbzVrjHNYFR8fH/Xv31+pqakaNWqUpB8/mklNTVVCQkKV20RGRio1NVWTJ092rUtJSWmwc1UXxhg99NBDeuONN/TBBx8oPDy8zvs4ffq0PvvsM40YMaIeOvS8Y8eO6euvv9a4ceOqHLfp/P1UcnKygoODFRMTU6ftbDp/4eHhCg0NVWpqqivAFBcXKyMjQw888ECV25zL73Bjqwgze/fu1fvvv6927drVeR81/ZxXqU7XgFAr7733XrUf0XzzzTeme/fuJiMjwxhjzFdffWXmzZtndu7cafbt22fefPNNc8kll5hBgwY1dNu1sm3bNrN06VKTlZVlvv76a/Piiy+aDh06mHvuucdVc+Ycjfnx44BOnTqZLVu2mJ07d5rIyEgTGRnZGFM4q2+++cZceumlZujQoeabb74x3377rWv5aY1N5/Dll182vr6+ZvXq1eaLL74wkyZNMoGBgSYvL88YY8y4cePM9OnTXfUff/yx8fb2NosXLzZ79uwxs2fPNi1btjSfffZZY02hWg888IAJCAgwH3zwgdu5On78uKvmzPnNnTvXvPvuu+brr782mZmZZuzYscbPz89kZ2c3xhRq9Nhjj5kPPvjA7Nu3z3z88ccmKirKtG/f3hQUFBhj7D5/FU6fPm06depkpk2bVmnMtvP3/fffm08//dR8+umnRpJZsmSJ+fTTT11P+CxcuNAEBgaaN9980+zevduMHDnShIeHmx9++MG1jxtvvNGsWLHC9bqm3+GGdrY5lpaWmltvvdVcfPHFJisry+338uTJk659nDnHmn7Oa4NAUw/uuusuc80111Q5tm/fPiPJvP/++8YYYw4ePGgGDRpkgoKCjK+vr7n00kvN1KlT6/x5Y0PJzMw0ERERJiAgwPj5+ZmePXua+fPnu90/c+YcjTHmhx9+MA8++KBp27at+dnPfmZuu+02t5DQVCQnJ1d7j00FG8/hihUrTKdOnYyPj48ZOHCg+eSTT1xjN9xwgxk/frxb/T/+8Q/zi1/8wvj4+JhevXqZjRs3NnDHtVPduUpOTnbVnDm/yZMnu96LkJAQM2LECLNr166Gb76W7rzzTtOxY0fj4+Njfv7zn5s777zT7d4sm89fhXfffddIMjk5OZXGbDt/77//fpU/kxVzKC8vNzNnzjQhISHG19fXDB06tNK8O3fubGbPnu227my/ww3tbHOs+P/Hqpaf/jvhzDnW9HNeGw5jjKnztSAAAIAmhL9DAwAArEegAQAA1iPQAAAA6xFoAACA9Qg0AADAegQaAABgPQINAACwHoEGAABYj0ADAACsR6ABAADWI9AAAADr/T+qxlDdriCQmgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "3d25bef4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats as stats\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "338fd4b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<scipy.stats._discrete_distns.poisson_gen at 0x1ec35a6b850>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.poisson.__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "4990ac41-fc16-4253-a9dc-964daf1b3e0d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Column Var1 is not normally distributed.\n"
     ]
    },
    {
     "ename": "TypeError",
     "evalue": "minimize() missing 1 required positional argument: 'x0'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[42], line 38\u001b[0m\n\u001b[0;32m     36\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[0;32m     37\u001b[0m     \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mColumn \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mcolumn\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m is not normally distributed.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m---> 38\u001b[0m     best_distribution, best_params, best_likelihood \u001b[38;5;241m=\u001b[39m \u001b[43mfit_distribution\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdata\u001b[49m\u001b[43m)\u001b[49m\n\u001b[0;32m     39\u001b[0m     \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mBest distribution for column \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mcolumn\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m: \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mbest_distribution\u001b[38;5;241m.\u001b[39mname\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m with parameters \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mbest_params\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m and likelihood \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mbest_likelihood\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n",
      "Cell \u001b[1;32mIn[42], line 23\u001b[0m, in \u001b[0;36mfit_distribution\u001b[1;34m(column)\u001b[0m\n\u001b[0;32m     21\u001b[0m best_likelihood \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39minf\n\u001b[0;32m     22\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m distribution \u001b[38;5;129;01min\u001b[39;00m distributions:\n\u001b[1;32m---> 23\u001b[0m     res \u001b[38;5;241m=\u001b[39m \u001b[43mminimize\u001b[49m\u001b[43m(\u001b[49m\u001b[43mneg_log_likelihood\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margs\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mdistribution\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcolumn\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmethod\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mSLSQP\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[0;32m     24\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m res\u001b[38;5;241m.\u001b[39mfun \u001b[38;5;241m<\u001b[39m best_likelihood:\n\u001b[0;32m     25\u001b[0m         best_distribution \u001b[38;5;241m=\u001b[39m distribution\n",
      "\u001b[1;31mTypeError\u001b[0m: minimize() missing 1 required positional argument: 'x0'"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "# Define a list of possible distributions to consider\n",
    "distributions = [\n",
    "    stats.norm,  # Normal distribution\n",
    "    stats.lognorm,  # Lognormal distribution\n",
    "    stats.expon,  # Exponential distribution\n",
    "    stats.gamma,  # Gamma distribution\n",
    "    stats.weibull_min,  # Weibull distribution\n",
    "    stats.poisson,  # Poisson distribution\n",
    "    stats.binom,  # Binomial distribution\n",
    "    stats.nbinom,  # Negative binomial distribution\n",
    "]\n",
    "\n",
    "# Function to calculate the negative log likelihood of a distribution\n",
    "def neg_log_likelihood(params, distribution, data):\n",
    "    return -np.sum(distribution.logpdf(data, *params))\n",
    "\n",
    "# Function to fit a distribution to a column using maximum likelihood\n",
    "def fit_distribution(column):\n",
    "    best_distribution = None\n",
    "    best_params = None\n",
    "    best_likelihood = np.inf\n",
    "    for distribution in distributions:\n",
    "        res = minimize(neg_log_likelihood, args=(distribution, column), method=\"SLSQP\")\n",
    "        if res.fun < best_likelihood:\n",
    "            best_distribution = distribution\n",
    "            best_params = res.x\n",
    "            best_likelihood = res.fun\n",
    "    return best_distribution, best_params, best_likelihood\n",
    "\n",
    "# Check each column for normality and fit the best distribution\n",
    "for column in df.columns:\n",
    "    data = df[column]\n",
    "    normality_test = stats.normaltest(data)\n",
    "    if normality_test.pvalue > 0.05:\n",
    "        print(f\"Column {column} is normally distributed.\")\n",
    "    else:\n",
    "        print(f\"Column {column} is not normally distributed.\")\n",
    "        best_distribution, best_params, best_likelihood = fit_distribution(data)\n",
    "        print(f\"Best distribution for column {column}: {best_distribution.name} with parameters {best_params} and likelihood {best_likelihood}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "a2164b9c-1046-4763-9f75-25f6ceba151c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Users\\dmitr\\anaconda3\\envs\\notebook\\Lib\\site-packages\\seaborn\\_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
      "  with pd.option_context('mode.use_inf_as_na', True):\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "ShapiroResult(statistic=0.942861020565033, pvalue=5.541695990984863e-10)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sns.histplot(df['income'])\n",
    "plt.show()\n",
    "st.shapiro(df[\"income\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "06198602-e412-4f0a-a77a-1cc15c506b4e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Users\\dmitr\\anaconda3\\envs\\notebook\\Lib\\site-packages\\seaborn\\_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
      "  with pd.option_context('mode.use_inf_as_na', True):\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "ShapiroResult(statistic=0.9955028295516968, pvalue=0.46069273352622986)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp = np.random.normal(size=330)\n",
    "sns.histplot(tmp)\n",
    "plt.show()\n",
    "st.shapiro(tmp)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
